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Simplifying 3(2x + -9) + -3 = 3(x + -4) Reorder the terms: 3(-9 + 2x) + -3 = 3(x + -4) (-9 * 3 + 2x * 3) + -3 = 3(x + -4) (-27 + 6x) + -3 = 3(x + -4) Reorder the terms: -27 + -3 + 6x = 3(x + -4) Combine like terms: -27 + -3 = -30 -30 + 6x = 3(x + -4) Reorder the terms: -30 + 6x = 3(-4 + x) -30 + 6x = (-4 * 3 + x * 3) -30 + 6x = (-12 + 3x) Solving -30 + 6x = -12 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -30 + 6x + -3x = -12 + 3x + -3x Combine like terms: 6x + -3x = 3x -30 + 3x = -12 + 3x + -3x Combine like terms: 3x + -3x = 0 -30 + 3x = -12 + 0 -30 + 3x = -12 Add '30' to each side of the equation. -30 + 30 + 3x = -12 + 30 Combine like terms: -30 + 30 = 0 0 + 3x = -12 + 30 3x = -12 + 30 Combine like terms: -12 + 30 = 18 3x = 18 Divide each side by '3'. x = 6 Simplifying x = 6
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