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Simplifying 2(x + -4) + 5 = 3(x + 5) + 2 Reorder the terms: 2(-4 + x) + 5 = 3(x + 5) + 2 (-4 * 2 + x * 2) + 5 = 3(x + 5) + 2 (-8 + 2x) + 5 = 3(x + 5) + 2 Reorder the terms: -8 + 5 + 2x = 3(x + 5) + 2 Combine like terms: -8 + 5 = -3 -3 + 2x = 3(x + 5) + 2 Reorder the terms: -3 + 2x = 3(5 + x) + 2 -3 + 2x = (5 * 3 + x * 3) + 2 -3 + 2x = (15 + 3x) + 2 Reorder the terms: -3 + 2x = 15 + 2 + 3x Combine like terms: 15 + 2 = 17 -3 + 2x = 17 + 3x Solving -3 + 2x = 17 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -3 + 2x + -3x = 17 + 3x + -3x Combine like terms: 2x + -3x = -1x -3 + -1x = 17 + 3x + -3x Combine like terms: 3x + -3x = 0 -3 + -1x = 17 + 0 -3 + -1x = 17 Add '3' to each side of the equation. -3 + 3 + -1x = 17 + 3 Combine like terms: -3 + 3 = 0 0 + -1x = 17 + 3 -1x = 17 + 3 Combine like terms: 17 + 3 = 20 -1x = 20 Divide each side by '-1'. x = -20 Simplifying x = -20
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