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Simplifying 3(x + 2) + -4(x + -1) = 7 Reorder the terms: 3(2 + x) + -4(x + -1) = 7 (2 * 3 + x * 3) + -4(x + -1) = 7 (6 + 3x) + -4(x + -1) = 7 Reorder the terms: 6 + 3x + -4(-1 + x) = 7 6 + 3x + (-1 * -4 + x * -4) = 7 6 + 3x + (4 + -4x) = 7 Reorder the terms: 6 + 4 + 3x + -4x = 7 Combine like terms: 6 + 4 = 10 10 + 3x + -4x = 7 Combine like terms: 3x + -4x = -1x 10 + -1x = 7 Solving 10 + -1x = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1x = 7 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 7 + -10 -1x = 7 + -10 Combine like terms: 7 + -10 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3
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