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Simplifying 3(x + -4) = 2(3x + -1) + 17 Reorder the terms: 3(-4 + x) = 2(3x + -1) + 17 (-4 * 3 + x * 3) = 2(3x + -1) + 17 (-12 + 3x) = 2(3x + -1) + 17 Reorder the terms: -12 + 3x = 2(-1 + 3x) + 17 -12 + 3x = (-1 * 2 + 3x * 2) + 17 -12 + 3x = (-2 + 6x) + 17 Reorder the terms: -12 + 3x = -2 + 17 + 6x Combine like terms: -2 + 17 = 15 -12 + 3x = 15 + 6x Solving -12 + 3x = 15 + 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. -12 + 3x + -6x = 15 + 6x + -6x Combine like terms: 3x + -6x = -3x -12 + -3x = 15 + 6x + -6x Combine like terms: 6x + -6x = 0 -12 + -3x = 15 + 0 -12 + -3x = 15 Add '12' to each side of the equation. -12 + 12 + -3x = 15 + 12 Combine like terms: -12 + 12 = 0 0 + -3x = 15 + 12 -3x = 15 + 12 Combine like terms: 15 + 12 = 27 -3x = 27 Divide each side by '-3'. x = -9 Simplifying x = -9
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