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Simplifying 1 = 3(x + -4) + -1(x + -5) Reorder the terms: 1 = 3(-4 + x) + -1(x + -5) 1 = (-4 * 3 + x * 3) + -1(x + -5) 1 = (-12 + 3x) + -1(x + -5) Reorder the terms: 1 = -12 + 3x + -1(-5 + x) 1 = -12 + 3x + (-5 * -1 + x * -1) 1 = -12 + 3x + (5 + -1x) Reorder the terms: 1 = -12 + 5 + 3x + -1x Combine like terms: -12 + 5 = -7 1 = -7 + 3x + -1x Combine like terms: 3x + -1x = 2x 1 = -7 + 2x Solving 1 = -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. 1 + -2x = -7 + 2x + -2x Combine like terms: 2x + -2x = 0 1 + -2x = -7 + 0 1 + -2x = -7 Add '-1' to each side of the equation. 1 + -1 + -2x = -7 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = -7 + -1 -2x = -7 + -1 Combine like terms: -7 + -1 = -8 -2x = -8 Divide each side by '-2'. x = 4 Simplifying x = 4
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