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Simplifying 10x + 3(x + -5) = 2(x + -7) + 8x Reorder the terms: 10x + 3(-5 + x) = 2(x + -7) + 8x 10x + (-5 * 3 + x * 3) = 2(x + -7) + 8x 10x + (-15 + 3x) = 2(x + -7) + 8x Reorder the terms: -15 + 10x + 3x = 2(x + -7) + 8x Combine like terms: 10x + 3x = 13x -15 + 13x = 2(x + -7) + 8x Reorder the terms: -15 + 13x = 2(-7 + x) + 8x -15 + 13x = (-7 * 2 + x * 2) + 8x -15 + 13x = (-14 + 2x) + 8x Combine like terms: 2x + 8x = 10x -15 + 13x = -14 + 10x Solving -15 + 13x = -14 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -15 + 13x + -10x = -14 + 10x + -10x Combine like terms: 13x + -10x = 3x -15 + 3x = -14 + 10x + -10x Combine like terms: 10x + -10x = 0 -15 + 3x = -14 + 0 -15 + 3x = -14 Add '15' to each side of the equation. -15 + 15 + 3x = -14 + 15 Combine like terms: -15 + 15 = 0 0 + 3x = -14 + 15 3x = -14 + 15 Combine like terms: -14 + 15 = 1 3x = 1 Divide each side by '3'. x = 0.3333333333 Simplifying x = 0.3333333333
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