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Simplifying 2(x + 3) + -1(x + -2) = 4(x + -1) + 3 Reorder the terms: 2(3 + x) + -1(x + -2) = 4(x + -1) + 3 (3 * 2 + x * 2) + -1(x + -2) = 4(x + -1) + 3 (6 + 2x) + -1(x + -2) = 4(x + -1) + 3 Reorder the terms: 6 + 2x + -1(-2 + x) = 4(x + -1) + 3 6 + 2x + (-2 * -1 + x * -1) = 4(x + -1) + 3 6 + 2x + (2 + -1x) = 4(x + -1) + 3 Reorder the terms: 6 + 2 + 2x + -1x = 4(x + -1) + 3 Combine like terms: 6 + 2 = 8 8 + 2x + -1x = 4(x + -1) + 3 Combine like terms: 2x + -1x = 1x 8 + 1x = 4(x + -1) + 3 Reorder the terms: 8 + 1x = 4(-1 + x) + 3 8 + 1x = (-1 * 4 + x * 4) + 3 8 + 1x = (-4 + 4x) + 3 Reorder the terms: 8 + 1x = -4 + 3 + 4x Combine like terms: -4 + 3 = -1 8 + 1x = -1 + 4x Solving 8 + 1x = -1 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 8 + 1x + -4x = -1 + 4x + -4x Combine like terms: 1x + -4x = -3x 8 + -3x = -1 + 4x + -4x Combine like terms: 4x + -4x = 0 8 + -3x = -1 + 0 8 + -3x = -1 Add '-8' to each side of the equation. 8 + -8 + -3x = -1 + -8 Combine like terms: 8 + -8 = 0 0 + -3x = -1 + -8 -3x = -1 + -8 Combine like terms: -1 + -8 = -9 -3x = -9 Divide each side by '-3'. x = 3 Simplifying x = 3
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