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