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Simplifying 10 = 5(-2x + 6) + 3(-1x + -5) Reorder the terms: 10 = 5(6 + -2x) + 3(-1x + -5) 10 = (6 * 5 + -2x * 5) + 3(-1x + -5) 10 = (30 + -10x) + 3(-1x + -5) Reorder the terms: 10 = 30 + -10x + 3(-5 + -1x) 10 = 30 + -10x + (-5 * 3 + -1x * 3) 10 = 30 + -10x + (-15 + -3x) Reorder the terms: 10 = 30 + -15 + -10x + -3x Combine like terms: 30 + -15 = 15 10 = 15 + -10x + -3x Combine like terms: -10x + -3x = -13x 10 = 15 + -13x Solving 10 = 15 + -13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13x' to each side of the equation. 10 + 13x = 15 + -13x + 13x Combine like terms: -13x + 13x = 0 10 + 13x = 15 + 0 10 + 13x = 15 Add '-10' to each side of the equation. 10 + -10 + 13x = 15 + -10 Combine like terms: 10 + -10 = 0 0 + 13x = 15 + -10 13x = 15 + -10 Combine like terms: 15 + -10 = 5 13x = 5 Divide each side by '13'. x = 0.3846153846 Simplifying x = 0.3846153846
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