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Simplifying -3x + 1 + 3(x + -4) = -2(1 + -1x) + -5 Reorder the terms: -3x + 1 + 3(-4 + x) = -2(1 + -1x) + -5 -3x + 1 + (-4 * 3 + x * 3) = -2(1 + -1x) + -5 -3x + 1 + (-12 + 3x) = -2(1 + -1x) + -5 Reorder the terms: 1 + -12 + -3x + 3x = -2(1 + -1x) + -5 Combine like terms: 1 + -12 = -11 -11 + -3x + 3x = -2(1 + -1x) + -5 Combine like terms: -3x + 3x = 0 -11 + 0 = -2(1 + -1x) + -5 -11 = -2(1 + -1x) + -5 -11 = (1 * -2 + -1x * -2) + -5 -11 = (-2 + 2x) + -5 Reorder the terms: -11 = -2 + -5 + 2x Combine like terms: -2 + -5 = -7 -11 = -7 + 2x Solving -11 = -7 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -11 + -2x = -7 + 2x + -2x Combine like terms: 2x + -2x = 0 -11 + -2x = -7 + 0 -11 + -2x = -7 Add '11' to each side of the equation. -11 + 11 + -2x = -7 + 11 Combine like terms: -11 + 11 = 0 0 + -2x = -7 + 11 -2x = -7 + 11 Combine like terms: -7 + 11 = 4 -2x = 4 Divide each side by '-2'. x = -2 Simplifying x = -2
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