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Simplifying -2(3x + -1) + 3(x + 5) = -4(x + -4) Reorder the terms: -2(-1 + 3x) + 3(x + 5) = -4(x + -4) (-1 * -2 + 3x * -2) + 3(x + 5) = -4(x + -4) (2 + -6x) + 3(x + 5) = -4(x + -4) Reorder the terms: 2 + -6x + 3(5 + x) = -4(x + -4) 2 + -6x + (5 * 3 + x * 3) = -4(x + -4) 2 + -6x + (15 + 3x) = -4(x + -4) Reorder the terms: 2 + 15 + -6x + 3x = -4(x + -4) Combine like terms: 2 + 15 = 17 17 + -6x + 3x = -4(x + -4) Combine like terms: -6x + 3x = -3x 17 + -3x = -4(x + -4) Reorder the terms: 17 + -3x = -4(-4 + x) 17 + -3x = (-4 * -4 + x * -4) 17 + -3x = (16 + -4x) Solving 17 + -3x = 16 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 17 + -3x + 4x = 16 + -4x + 4x Combine like terms: -3x + 4x = 1x 17 + 1x = 16 + -4x + 4x Combine like terms: -4x + 4x = 0 17 + 1x = 16 + 0 17 + 1x = 16 Add '-17' to each side of the equation. 17 + -17 + 1x = 16 + -17 Combine like terms: 17 + -17 = 0 0 + 1x = 16 + -17 1x = 16 + -17 Combine like terms: 16 + -17 = -1 1x = -1 Divide each side by '1'. x = -1 Simplifying x = -1
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