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Simplifying 15 = 4(x + -3) + -1(x + -6) Reorder the terms: 15 = 4(-3 + x) + -1(x + -6) 15 = (-3 * 4 + x * 4) + -1(x + -6) 15 = (-12 + 4x) + -1(x + -6) Reorder the terms: 15 = -12 + 4x + -1(-6 + x) 15 = -12 + 4x + (-6 * -1 + x * -1) 15 = -12 + 4x + (6 + -1x) Reorder the terms: 15 = -12 + 6 + 4x + -1x Combine like terms: -12 + 6 = -6 15 = -6 + 4x + -1x Combine like terms: 4x + -1x = 3x 15 = -6 + 3x Solving 15 = -6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 15 + -3x = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 15 + -3x = -6 + 0 15 + -3x = -6 Add '-15' to each side of the equation. 15 + -15 + -3x = -6 + -15 Combine like terms: 15 + -15 = 0 0 + -3x = -6 + -15 -3x = -6 + -15 Combine like terms: -6 + -15 = -21 -3x = -21 Divide each side by '-3'. x = 7 Simplifying x = 7
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