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Simplifying 6(x + -7) + 3(x + 14) + 2(x + -15) = -9(x + -4) + 3(x + 7) Reorder the terms: 6(-7 + x) + 3(x + 14) + 2(x + -15) = -9(x + -4) + 3(x + 7) (-7 * 6 + x * 6) + 3(x + 14) + 2(x + -15) = -9(x + -4) + 3(x + 7) (-42 + 6x) + 3(x + 14) + 2(x + -15) = -9(x + -4) + 3(x + 7) Reorder the terms: -42 + 6x + 3(14 + x) + 2(x + -15) = -9(x + -4) + 3(x + 7) -42 + 6x + (14 * 3 + x * 3) + 2(x + -15) = -9(x + -4) + 3(x + 7) -42 + 6x + (42 + 3x) + 2(x + -15) = -9(x + -4) + 3(x + 7) Reorder the terms: -42 + 6x + 42 + 3x + 2(-15 + x) = -9(x + -4) + 3(x + 7) -42 + 6x + 42 + 3x + (-15 * 2 + x * 2) = -9(x + -4) + 3(x + 7) -42 + 6x + 42 + 3x + (-30 + 2x) = -9(x + -4) + 3(x + 7) Reorder the terms: -42 + 42 + -30 + 6x + 3x + 2x = -9(x + -4) + 3(x + 7) Combine like terms: -42 + 42 = 0 0 + -30 + 6x + 3x + 2x = -9(x + -4) + 3(x + 7) -30 + 6x + 3x + 2x = -9(x + -4) + 3(x + 7) Combine like terms: 6x + 3x = 9x -30 + 9x + 2x = -9(x + -4) + 3(x + 7) Combine like terms: 9x + 2x = 11x -30 + 11x = -9(x + -4) + 3(x + 7) Reorder the terms: -30 + 11x = -9(-4 + x) + 3(x + 7) -30 + 11x = (-4 * -9 + x * -9) + 3(x + 7) -30 + 11x = (36 + -9x) + 3(x + 7) Reorder the terms: -30 + 11x = 36 + -9x + 3(7 + x) -30 + 11x = 36 + -9x + (7 * 3 + x * 3) -30 + 11x = 36 + -9x + (21 + 3x) Reorder the terms: -30 + 11x = 36 + 21 + -9x + 3x Combine like terms: 36 + 21 = 57 -30 + 11x = 57 + -9x + 3x Combine like terms: -9x + 3x = -6x -30 + 11x = 57 + -6x Solving -30 + 11x = 57 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -30 + 11x + 6x = 57 + -6x + 6x Combine like terms: 11x + 6x = 17x -30 + 17x = 57 + -6x + 6x Combine like terms: -6x + 6x = 0 -30 + 17x = 57 + 0 -30 + 17x = 57 Add '30' to each side of the equation. -30 + 30 + 17x = 57 + 30 Combine like terms: -30 + 30 = 0 0 + 17x = 57 + 30 17x = 57 + 30 Combine like terms: 57 + 30 = 87 17x = 87 Divide each side by '17'. x = 5.117647059 Simplifying x = 5.117647059
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