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Simplifying x + -3(x + -4) = 2(x + 5) + -8 Reorder the terms: x + -3(-4 + x) = 2(x + 5) + -8 x + (-4 * -3 + x * -3) = 2(x + 5) + -8 x + (12 + -3x) = 2(x + 5) + -8 Reorder the terms: 12 + x + -3x = 2(x + 5) + -8 Combine like terms: x + -3x = -2x 12 + -2x = 2(x + 5) + -8 Reorder the terms: 12 + -2x = 2(5 + x) + -8 12 + -2x = (5 * 2 + x * 2) + -8 12 + -2x = (10 + 2x) + -8 Reorder the terms: 12 + -2x = 10 + -8 + 2x Combine like terms: 10 + -8 = 2 12 + -2x = 2 + 2x Solving 12 + -2x = 2 + 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. 12 + -2x + -2x = 2 + 2x + -2x Combine like terms: -2x + -2x = -4x 12 + -4x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 12 + -4x = 2 + 0 12 + -4x = 2 Add '-12' to each side of the equation. 12 + -12 + -4x = 2 + -12 Combine like terms: 12 + -12 = 0 0 + -4x = 2 + -12 -4x = 2 + -12 Combine like terms: 2 + -12 = -10 -4x = -10 Divide each side by '-4'. x = 2.5 Simplifying x = 2.5
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