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Simplifying -1 = -3(x + -1) + 5(x + -4) Reorder the terms: -1 = -3(-1 + x) + 5(x + -4) -1 = (-1 * -3 + x * -3) + 5(x + -4) -1 = (3 + -3x) + 5(x + -4) Reorder the terms: -1 = 3 + -3x + 5(-4 + x) -1 = 3 + -3x + (-4 * 5 + x * 5) -1 = 3 + -3x + (-20 + 5x) Reorder the terms: -1 = 3 + -20 + -3x + 5x Combine like terms: 3 + -20 = -17 -1 = -17 + -3x + 5x Combine like terms: -3x + 5x = 2x -1 = -17 + 2x Solving -1 = -17 + 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 = -17 + 2x + -2x Combine like terms: 2x + -2x = 0 -1 + -2x = -17 + 0 -1 + -2x = -17 Add '1' to each side of the equation. -1 + 1 + -2x = -17 + 1 Combine like terms: -1 + 1 = 0 0 + -2x = -17 + 1 -2x = -17 + 1 Combine like terms: -17 + 1 = -16 -2x = -16 Divide each side by '-2'. x = 8 Simplifying x = 8
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