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Simplifying -13 = -3(x + -1) + 5(x + -6) Reorder the terms: -13 = -3(-1 + x) + 5(x + -6) -13 = (-1 * -3 + x * -3) + 5(x + -6) -13 = (3 + -3x) + 5(x + -6) Reorder the terms: -13 = 3 + -3x + 5(-6 + x) -13 = 3 + -3x + (-6 * 5 + x * 5) -13 = 3 + -3x + (-30 + 5x) Reorder the terms: -13 = 3 + -30 + -3x + 5x Combine like terms: 3 + -30 = -27 -13 = -27 + -3x + 5x Combine like terms: -3x + 5x = 2x -13 = -27 + 2x Solving -13 = -27 + 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. -13 + -2x = -27 + 2x + -2x Combine like terms: 2x + -2x = 0 -13 + -2x = -27 + 0 -13 + -2x = -27 Add '13' to each side of the equation. -13 + 13 + -2x = -27 + 13 Combine like terms: -13 + 13 = 0 0 + -2x = -27 + 13 -2x = -27 + 13 Combine like terms: -27 + 13 = -14 -2x = -14 Divide each side by '-2'. x = 7 Simplifying x = 7
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