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Simplifying 2(x + -4) + 3(x + 5) = 2x + -2 Reorder the terms: 2(-4 + x) + 3(x + 5) = 2x + -2 (-4 * 2 + x * 2) + 3(x + 5) = 2x + -2 (-8 + 2x) + 3(x + 5) = 2x + -2 Reorder the terms: -8 + 2x + 3(5 + x) = 2x + -2 -8 + 2x + (5 * 3 + x * 3) = 2x + -2 -8 + 2x + (15 + 3x) = 2x + -2 Reorder the terms: -8 + 15 + 2x + 3x = 2x + -2 Combine like terms: -8 + 15 = 7 7 + 2x + 3x = 2x + -2 Combine like terms: 2x + 3x = 5x 7 + 5x = 2x + -2 Reorder the terms: 7 + 5x = -2 + 2x Solving 7 + 5x = -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. 7 + 5x + -2x = -2 + 2x + -2x Combine like terms: 5x + -2x = 3x 7 + 3x = -2 + 2x + -2x Combine like terms: 2x + -2x = 0 7 + 3x = -2 + 0 7 + 3x = -2 Add '-7' to each side of the equation. 7 + -7 + 3x = -2 + -7 Combine like terms: 7 + -7 = 0 0 + 3x = -2 + -7 3x = -2 + -7 Combine like terms: -2 + -7 = -9 3x = -9 Divide each side by '3'. x = -3 Simplifying x = -3
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