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Simplifying 2(x + 5) + -3(x + -5) = 6(x + -10) + -12 Reorder the terms: 2(5 + x) + -3(x + -5) = 6(x + -10) + -12 (5 * 2 + x * 2) + -3(x + -5) = 6(x + -10) + -12 (10 + 2x) + -3(x + -5) = 6(x + -10) + -12 Reorder the terms: 10 + 2x + -3(-5 + x) = 6(x + -10) + -12 10 + 2x + (-5 * -3 + x * -3) = 6(x + -10) + -12 10 + 2x + (15 + -3x) = 6(x + -10) + -12 Reorder the terms: 10 + 15 + 2x + -3x = 6(x + -10) + -12 Combine like terms: 10 + 15 = 25 25 + 2x + -3x = 6(x + -10) + -12 Combine like terms: 2x + -3x = -1x 25 + -1x = 6(x + -10) + -12 Reorder the terms: 25 + -1x = 6(-10 + x) + -12 25 + -1x = (-10 * 6 + x * 6) + -12 25 + -1x = (-60 + 6x) + -12 Reorder the terms: 25 + -1x = -60 + -12 + 6x Combine like terms: -60 + -12 = -72 25 + -1x = -72 + 6x Solving 25 + -1x = -72 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 25 + -1x + -6x = -72 + 6x + -6x Combine like terms: -1x + -6x = -7x 25 + -7x = -72 + 6x + -6x Combine like terms: 6x + -6x = 0 25 + -7x = -72 + 0 25 + -7x = -72 Add '-25' to each side of the equation. 25 + -25 + -7x = -72 + -25 Combine like terms: 25 + -25 = 0 0 + -7x = -72 + -25 -7x = -72 + -25 Combine like terms: -72 + -25 = -97 -7x = -97 Divide each side by '-7'. x = 13.85714286 Simplifying x = 13.85714286
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