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Simplifying 3(x + 2) + -1(4x + -1) = -17 Reorder the terms: 3(2 + x) + -1(4x + -1) = -17 (2 * 3 + x * 3) + -1(4x + -1) = -17 (6 + 3x) + -1(4x + -1) = -17 Reorder the terms: 6 + 3x + -1(-1 + 4x) = -17 6 + 3x + (-1 * -1 + 4x * -1) = -17 6 + 3x + (1 + -4x) = -17 Reorder the terms: 6 + 1 + 3x + -4x = -17 Combine like terms: 6 + 1 = 7 7 + 3x + -4x = -17 Combine like terms: 3x + -4x = -1x 7 + -1x = -17 Solving 7 + -1x = -17 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1x = -17 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = -17 + -7 -1x = -17 + -7 Combine like terms: -17 + -7 = -24 -1x = -24 Divide each side by '-1'. x = 24 Simplifying x = 24
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