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Simplifying -3(8x + 4) + -2(1 + -17x) = 3(6 + 3x) Reorder the terms: -3(4 + 8x) + -2(1 + -17x) = 3(6 + 3x) (4 * -3 + 8x * -3) + -2(1 + -17x) = 3(6 + 3x) (-12 + -24x) + -2(1 + -17x) = 3(6 + 3x) -12 + -24x + (1 * -2 + -17x * -2) = 3(6 + 3x) -12 + -24x + (-2 + 34x) = 3(6 + 3x) Reorder the terms: -12 + -2 + -24x + 34x = 3(6 + 3x) Combine like terms: -12 + -2 = -14 -14 + -24x + 34x = 3(6 + 3x) Combine like terms: -24x + 34x = 10x -14 + 10x = 3(6 + 3x) -14 + 10x = (6 * 3 + 3x * 3) -14 + 10x = (18 + 9x) Solving -14 + 10x = 18 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -14 + 10x + -9x = 18 + 9x + -9x Combine like terms: 10x + -9x = 1x -14 + 1x = 18 + 9x + -9x Combine like terms: 9x + -9x = 0 -14 + 1x = 18 + 0 -14 + 1x = 18 Add '14' to each side of the equation. -14 + 14 + 1x = 18 + 14 Combine like terms: -14 + 14 = 0 0 + 1x = 18 + 14 1x = 18 + 14 Combine like terms: 18 + 14 = 32 1x = 32 Divide each side by '1'. x = 32 Simplifying x = 32
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