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Simplifying 4(x + 2) + -3(x + -1) = 2(x + -2) Reorder the terms: 4(2 + x) + -3(x + -1) = 2(x + -2) (2 * 4 + x * 4) + -3(x + -1) = 2(x + -2) (8 + 4x) + -3(x + -1) = 2(x + -2) Reorder the terms: 8 + 4x + -3(-1 + x) = 2(x + -2) 8 + 4x + (-1 * -3 + x * -3) = 2(x + -2) 8 + 4x + (3 + -3x) = 2(x + -2) Reorder the terms: 8 + 3 + 4x + -3x = 2(x + -2) Combine like terms: 8 + 3 = 11 11 + 4x + -3x = 2(x + -2) Combine like terms: 4x + -3x = 1x 11 + 1x = 2(x + -2) Reorder the terms: 11 + 1x = 2(-2 + x) 11 + 1x = (-2 * 2 + x * 2) 11 + 1x = (-4 + 2x) Solving 11 + 1x = -4 + 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. 11 + 1x + -2x = -4 + 2x + -2x Combine like terms: 1x + -2x = -1x 11 + -1x = -4 + 2x + -2x Combine like terms: 2x + -2x = 0 11 + -1x = -4 + 0 11 + -1x = -4 Add '-11' to each side of the equation. 11 + -11 + -1x = -4 + -11 Combine like terms: 11 + -11 = 0 0 + -1x = -4 + -11 -1x = -4 + -11 Combine like terms: -4 + -11 = -15 -1x = -15 Divide each side by '-1'. x = 15 Simplifying x = 15
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