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Simplifying 7(x + -3) = 8(x + 1) + -9(2x + -3) Reorder the terms: 7(-3 + x) = 8(x + 1) + -9(2x + -3) (-3 * 7 + x * 7) = 8(x + 1) + -9(2x + -3) (-21 + 7x) = 8(x + 1) + -9(2x + -3) Reorder the terms: -21 + 7x = 8(1 + x) + -9(2x + -3) -21 + 7x = (1 * 8 + x * 8) + -9(2x + -3) -21 + 7x = (8 + 8x) + -9(2x + -3) Reorder the terms: -21 + 7x = 8 + 8x + -9(-3 + 2x) -21 + 7x = 8 + 8x + (-3 * -9 + 2x * -9) -21 + 7x = 8 + 8x + (27 + -18x) Reorder the terms: -21 + 7x = 8 + 27 + 8x + -18x Combine like terms: 8 + 27 = 35 -21 + 7x = 35 + 8x + -18x Combine like terms: 8x + -18x = -10x -21 + 7x = 35 + -10x Solving -21 + 7x = 35 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -21 + 7x + 10x = 35 + -10x + 10x Combine like terms: 7x + 10x = 17x -21 + 17x = 35 + -10x + 10x Combine like terms: -10x + 10x = 0 -21 + 17x = 35 + 0 -21 + 17x = 35 Add '21' to each side of the equation. -21 + 21 + 17x = 35 + 21 Combine like terms: -21 + 21 = 0 0 + 17x = 35 + 21 17x = 35 + 21 Combine like terms: 35 + 21 = 56 17x = 56 Divide each side by '17'. x = 3.294117647 Simplifying x = 3.294117647
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