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Simplifying 5(x + -2) + -2 = 2(x + 1) + -5 Reorder the terms: 5(-2 + x) + -2 = 2(x + 1) + -5 (-2 * 5 + x * 5) + -2 = 2(x + 1) + -5 (-10 + 5x) + -2 = 2(x + 1) + -5 Reorder the terms: -10 + -2 + 5x = 2(x + 1) + -5 Combine like terms: -10 + -2 = -12 -12 + 5x = 2(x + 1) + -5 Reorder the terms: -12 + 5x = 2(1 + x) + -5 -12 + 5x = (1 * 2 + x * 2) + -5 -12 + 5x = (2 + 2x) + -5 Reorder the terms: -12 + 5x = 2 + -5 + 2x Combine like terms: 2 + -5 = -3 -12 + 5x = -3 + 2x Solving -12 + 5x = -3 + 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 + 5x + -2x = -3 + 2x + -2x Combine like terms: 5x + -2x = 3x -12 + 3x = -3 + 2x + -2x Combine like terms: 2x + -2x = 0 -12 + 3x = -3 + 0 -12 + 3x = -3 Add '12' to each side of the equation. -12 + 12 + 3x = -3 + 12 Combine like terms: -12 + 12 = 0 0 + 3x = -3 + 12 3x = -3 + 12 Combine like terms: -3 + 12 = 9 3x = 9 Divide each side by '3'. x = 3 Simplifying x = 3
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