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Simplifying 2x + 4 + -1(3x + 3) = x + 2 Reorder the terms: 2x + 4 + -1(3 + 3x) = x + 2 2x + 4 + (3 * -1 + 3x * -1) = x + 2 2x + 4 + (-3 + -3x) = x + 2 Reorder the terms: 4 + -3 + 2x + -3x = x + 2 Combine like terms: 4 + -3 = 1 1 + 2x + -3x = x + 2 Combine like terms: 2x + -3x = -1x 1 + -1x = x + 2 Reorder the terms: 1 + -1x = 2 + x Solving 1 + -1x = 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. 1 + -1x + -1x = 2 + x + -1x Combine like terms: -1x + -1x = -2x 1 + -2x = 2 + x + -1x Combine like terms: x + -1x = 0 1 + -2x = 2 + 0 1 + -2x = 2 Add '-1' to each side of the equation. 1 + -1 + -2x = 2 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = 2 + -1 -2x = 2 + -1 Combine like terms: 2 + -1 = 1 -2x = 1 Divide each side by '-2'. x = -0.5 Simplifying x = -0.5
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