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Simplifying 2(x + -1) + 5x + -3(x + -2) = x + 2 Reorder the terms: 2(-1 + x) + 5x + -3(x + -2) = x + 2 (-1 * 2 + x * 2) + 5x + -3(x + -2) = x + 2 (-2 + 2x) + 5x + -3(x + -2) = x + 2 Reorder the terms: -2 + 2x + 5x + -3(-2 + x) = x + 2 -2 + 2x + 5x + (-2 * -3 + x * -3) = x + 2 -2 + 2x + 5x + (6 + -3x) = x + 2 Reorder the terms: -2 + 6 + 2x + 5x + -3x = x + 2 Combine like terms: -2 + 6 = 4 4 + 2x + 5x + -3x = x + 2 Combine like terms: 2x + 5x = 7x 4 + 7x + -3x = x + 2 Combine like terms: 7x + -3x = 4x 4 + 4x = x + 2 Reorder the terms: 4 + 4x = 2 + x Solving 4 + 4x = 2 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 4 + 4x + -1x = 2 + x + -1x Combine like terms: 4x + -1x = 3x 4 + 3x = 2 + x + -1x Combine like terms: x + -1x = 0 4 + 3x = 2 + 0 4 + 3x = 2 Add '-4' to each side of the equation. 4 + -4 + 3x = 2 + -4 Combine like terms: 4 + -4 = 0 0 + 3x = 2 + -4 3x = 2 + -4 Combine like terms: 2 + -4 = -2 3x = -2 Divide each side by '3'. x = -0.6666666667 Simplifying x = -0.6666666667
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