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Simplifying 4x + 2(x + -1) + -3(x + -2) = 13 Reorder the terms: 4x + 2(-1 + x) + -3(x + -2) = 13 4x + (-1 * 2 + x * 2) + -3(x + -2) = 13 4x + (-2 + 2x) + -3(x + -2) = 13 Reorder the terms: 4x + -2 + 2x + -3(-2 + x) = 13 4x + -2 + 2x + (-2 * -3 + x * -3) = 13 4x + -2 + 2x + (6 + -3x) = 13 Reorder the terms: -2 + 6 + 4x + 2x + -3x = 13 Combine like terms: -2 + 6 = 4 4 + 4x + 2x + -3x = 13 Combine like terms: 4x + 2x = 6x 4 + 6x + -3x = 13 Combine like terms: 6x + -3x = 3x 4 + 3x = 13 Solving 4 + 3x = 13 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 = 13 + -4 Combine like terms: 4 + -4 = 0 0 + 3x = 13 + -4 3x = 13 + -4 Combine like terms: 13 + -4 = 9 3x = 9 Divide each side by '3'. x = 3 Simplifying x = 3
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