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Simplifying 10 = 5(x + -3) + -1(x + -5) Reorder the terms: 10 = 5(-3 + x) + -1(x + -5) 10 = (-3 * 5 + x * 5) + -1(x + -5) 10 = (-15 + 5x) + -1(x + -5) Reorder the terms: 10 = -15 + 5x + -1(-5 + x) 10 = -15 + 5x + (-5 * -1 + x * -1) 10 = -15 + 5x + (5 + -1x) Reorder the terms: 10 = -15 + 5 + 5x + -1x Combine like terms: -15 + 5 = -10 10 = -10 + 5x + -1x Combine like terms: 5x + -1x = 4x 10 = -10 + 4x Solving 10 = -10 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 10 + -4x = -10 + 4x + -4x Combine like terms: 4x + -4x = 0 10 + -4x = -10 + 0 10 + -4x = -10 Add '-10' to each side of the equation. 10 + -10 + -4x = -10 + -10 Combine like terms: 10 + -10 = 0 0 + -4x = -10 + -10 -4x = -10 + -10 Combine like terms: -10 + -10 = -20 -4x = -20 Divide each side by '-4'. x = 5 Simplifying x = 5
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