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Simplifying 4(x + -1) + -3(x + -2) + 2(x + 1) = 10 Reorder the terms: 4(-1 + x) + -3(x + -2) + 2(x + 1) = 10 (-1 * 4 + x * 4) + -3(x + -2) + 2(x + 1) = 10 (-4 + 4x) + -3(x + -2) + 2(x + 1) = 10 Reorder the terms: -4 + 4x + -3(-2 + x) + 2(x + 1) = 10 -4 + 4x + (-2 * -3 + x * -3) + 2(x + 1) = 10 -4 + 4x + (6 + -3x) + 2(x + 1) = 10 Reorder the terms: -4 + 4x + 6 + -3x + 2(1 + x) = 10 -4 + 4x + 6 + -3x + (1 * 2 + x * 2) = 10 -4 + 4x + 6 + -3x + (2 + 2x) = 10 Reorder the terms: -4 + 6 + 2 + 4x + -3x + 2x = 10 Combine like terms: -4 + 6 = 2 2 + 2 + 4x + -3x + 2x = 10 Combine like terms: 2 + 2 = 4 4 + 4x + -3x + 2x = 10 Combine like terms: 4x + -3x = 1x 4 + 1x + 2x = 10 Combine like terms: 1x + 2x = 3x 4 + 3x = 10 Solving 4 + 3x = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 3x = 10 + -4 Combine like terms: 4 + -4 = 0 0 + 3x = 10 + -4 3x = 10 + -4 Combine like terms: 10 + -4 = 6 3x = 6 Divide each side by '3'. x = 2 Simplifying x = 2
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