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Simplifying 5 = 3(x + -4) + -1(x + -9) Reorder the terms: 5 = 3(-4 + x) + -1(x + -9) 5 = (-4 * 3 + x * 3) + -1(x + -9) 5 = (-12 + 3x) + -1(x + -9) Reorder the terms: 5 = -12 + 3x + -1(-9 + x) 5 = -12 + 3x + (-9 * -1 + x * -1) 5 = -12 + 3x + (9 + -1x) Reorder the terms: 5 = -12 + 9 + 3x + -1x Combine like terms: -12 + 9 = -3 5 = -3 + 3x + -1x Combine like terms: 3x + -1x = 2x 5 = -3 + 2x Solving 5 = -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. 5 + -2x = -3 + 2x + -2x Combine like terms: 2x + -2x = 0 5 + -2x = -3 + 0 5 + -2x = -3 Add '-5' to each side of the equation. 5 + -5 + -2x = -3 + -5 Combine like terms: 5 + -5 = 0 0 + -2x = -3 + -5 -2x = -3 + -5 Combine like terms: -3 + -5 = -8 -2x = -8 Divide each side by '-2'. x = 4 Simplifying x = 4
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