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Simplifying 3 = -3(x + -4) + 5(x + -5) Reorder the terms: 3 = -3(-4 + x) + 5(x + -5) 3 = (-4 * -3 + x * -3) + 5(x + -5) 3 = (12 + -3x) + 5(x + -5) Reorder the terms: 3 = 12 + -3x + 5(-5 + x) 3 = 12 + -3x + (-5 * 5 + x * 5) 3 = 12 + -3x + (-25 + 5x) Reorder the terms: 3 = 12 + -25 + -3x + 5x Combine like terms: 12 + -25 = -13 3 = -13 + -3x + 5x Combine like terms: -3x + 5x = 2x 3 = -13 + 2x Solving 3 = -13 + 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. 3 + -2x = -13 + 2x + -2x Combine like terms: 2x + -2x = 0 3 + -2x = -13 + 0 3 + -2x = -13 Add '-3' to each side of the equation. 3 + -3 + -2x = -13 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = -13 + -3 -2x = -13 + -3 Combine like terms: -13 + -3 = -16 -2x = -16 Divide each side by '-2'. x = 8 Simplifying x = 8
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