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Simplifying 9 = 4(x + -3) + -1(x + -9) Reorder the terms: 9 = 4(-3 + x) + -1(x + -9) 9 = (-3 * 4 + x * 4) + -1(x + -9) 9 = (-12 + 4x) + -1(x + -9) Reorder the terms: 9 = -12 + 4x + -1(-9 + x) 9 = -12 + 4x + (-9 * -1 + x * -1) 9 = -12 + 4x + (9 + -1x) Reorder the terms: 9 = -12 + 9 + 4x + -1x Combine like terms: -12 + 9 = -3 9 = -3 + 4x + -1x Combine like terms: 4x + -1x = 3x 9 = -3 + 3x Solving 9 = -3 + 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. 9 + -3x = -3 + 3x + -3x Combine like terms: 3x + -3x = 0 9 + -3x = -3 + 0 9 + -3x = -3 Add '-9' to each side of the equation. 9 + -9 + -3x = -3 + -9 Combine like terms: 9 + -9 = 0 0 + -3x = -3 + -9 -3x = -3 + -9 Combine like terms: -3 + -9 = -12 -3x = -12 Divide each side by '-3'. x = 4 Simplifying x = 4
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