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