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Simplifying 13 = 3(x + -1) + -1(x + -6) Reorder the terms: 13 = 3(-1 + x) + -1(x + -6) 13 = (-1 * 3 + x * 3) + -1(x + -6) 13 = (-3 + 3x) + -1(x + -6) Reorder the terms: 13 = -3 + 3x + -1(-6 + x) 13 = -3 + 3x + (-6 * -1 + x * -1) 13 = -3 + 3x + (6 + -1x) Reorder the terms: 13 = -3 + 6 + 3x + -1x Combine like terms: -3 + 6 = 3 13 = 3 + 3x + -1x Combine like terms: 3x + -1x = 2x 13 = 3 + 2x Solving 13 = 3 + 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 = 3 + 2x + -2x Combine like terms: 2x + -2x = 0 13 + -2x = 3 + 0 13 + -2x = 3 Add '-13' to each side of the equation. 13 + -13 + -2x = 3 + -13 Combine like terms: 13 + -13 = 0 0 + -2x = 3 + -13 -2x = 3 + -13 Combine like terms: 3 + -13 = -10 -2x = -10 Divide each side by '-2'. x = 5 Simplifying x = 5
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