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Simplifying -3x + -34(x + 3) = -9(4x + 2) Reorder the terms: -3x + -34(3 + x) = -9(4x + 2) -3x + (3 * -34 + x * -34) = -9(4x + 2) -3x + (-102 + -34x) = -9(4x + 2) Reorder the terms: -102 + -3x + -34x = -9(4x + 2) Combine like terms: -3x + -34x = -37x -102 + -37x = -9(4x + 2) Reorder the terms: -102 + -37x = -9(2 + 4x) -102 + -37x = (2 * -9 + 4x * -9) -102 + -37x = (-18 + -36x) Solving -102 + -37x = -18 + -36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36x' to each side of the equation. -102 + -37x + 36x = -18 + -36x + 36x Combine like terms: -37x + 36x = -1x -102 + -1x = -18 + -36x + 36x Combine like terms: -36x + 36x = 0 -102 + -1x = -18 + 0 -102 + -1x = -18 Add '102' to each side of the equation. -102 + 102 + -1x = -18 + 102 Combine like terms: -102 + 102 = 0 0 + -1x = -18 + 102 -1x = -18 + 102 Combine like terms: -18 + 102 = 84 -1x = 84 Divide each side by '-1'. x = -84 Simplifying x = -84
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