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Simplifying 5x + 2 + -3(x + 2) = -2(x + 1) + 5(x + -2) Reorder the terms: 5x + 2 + -3(2 + x) = -2(x + 1) + 5(x + -2) 5x + 2 + (2 * -3 + x * -3) = -2(x + 1) + 5(x + -2) 5x + 2 + (-6 + -3x) = -2(x + 1) + 5(x + -2) Reorder the terms: 2 + -6 + 5x + -3x = -2(x + 1) + 5(x + -2) Combine like terms: 2 + -6 = -4 -4 + 5x + -3x = -2(x + 1) + 5(x + -2) Combine like terms: 5x + -3x = 2x -4 + 2x = -2(x + 1) + 5(x + -2) Reorder the terms: -4 + 2x = -2(1 + x) + 5(x + -2) -4 + 2x = (1 * -2 + x * -2) + 5(x + -2) -4 + 2x = (-2 + -2x) + 5(x + -2) Reorder the terms: -4 + 2x = -2 + -2x + 5(-2 + x) -4 + 2x = -2 + -2x + (-2 * 5 + x * 5) -4 + 2x = -2 + -2x + (-10 + 5x) Reorder the terms: -4 + 2x = -2 + -10 + -2x + 5x Combine like terms: -2 + -10 = -12 -4 + 2x = -12 + -2x + 5x Combine like terms: -2x + 5x = 3x -4 + 2x = -12 + 3x Solving -4 + 2x = -12 + 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. -4 + 2x + -3x = -12 + 3x + -3x Combine like terms: 2x + -3x = -1x -4 + -1x = -12 + 3x + -3x Combine like terms: 3x + -3x = 0 -4 + -1x = -12 + 0 -4 + -1x = -12 Add '4' to each side of the equation. -4 + 4 + -1x = -12 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = -12 + 4 -1x = -12 + 4 Combine like terms: -12 + 4 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8
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