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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 = -23 -23 + 2x + -3x = 2x + -2 Combine like terms: 2x + -3x = -1x -23 + -1x = 2x + -2 Reorder the terms: -23 + -1x = -2 + 2x Solving -23 + -1x = -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. -23 + -1x + -2x = -2 + 2x + -2x Combine like terms: -1x + -2x = -3x -23 + -3x = -2 + 2x + -2x Combine like terms: 2x + -2x = 0 -23 + -3x = -2 + 0 -23 + -3x = -2 Add '23' to each side of the equation. -23 + 23 + -3x = -2 + 23 Combine like terms: -23 + 23 = 0 0 + -3x = -2 + 23 -3x = -2 + 23 Combine like terms: -2 + 23 = 21 -3x = 21 Divide each side by '-3'. x = -7 Simplifying x = -7
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