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