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Simplifying 5(x + -5) + 10 = 2(x + -6) Reorder the terms: 5(-5 + x) + 10 = 2(x + -6) (-5 * 5 + x * 5) + 10 = 2(x + -6) (-25 + 5x) + 10 = 2(x + -6) Reorder the terms: -25 + 10 + 5x = 2(x + -6) Combine like terms: -25 + 10 = -15 -15 + 5x = 2(x + -6) Reorder the terms: -15 + 5x = 2(-6 + x) -15 + 5x = (-6 * 2 + x * 2) -15 + 5x = (-12 + 2x) Solving -15 + 5x = -12 + 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. -15 + 5x + -2x = -12 + 2x + -2x Combine like terms: 5x + -2x = 3x -15 + 3x = -12 + 2x + -2x Combine like terms: 2x + -2x = 0 -15 + 3x = -12 + 0 -15 + 3x = -12 Add '15' to each side of the equation. -15 + 15 + 3x = -12 + 15 Combine like terms: -15 + 15 = 0 0 + 3x = -12 + 15 3x = -12 + 15 Combine like terms: -12 + 15 = 3 3x = 3 Divide each side by '3'. x = 1 Simplifying x = 1
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