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Simplifying 4(x + 6) + -1(2x + 7) + -3x = -9 Reorder the terms: 4(6 + x) + -1(2x + 7) + -3x = -9 (6 * 4 + x * 4) + -1(2x + 7) + -3x = -9 (24 + 4x) + -1(2x + 7) + -3x = -9 Reorder the terms: 24 + 4x + -1(7 + 2x) + -3x = -9 24 + 4x + (7 * -1 + 2x * -1) + -3x = -9 24 + 4x + (-7 + -2x) + -3x = -9 Reorder the terms: 24 + -7 + 4x + -2x + -3x = -9 Combine like terms: 24 + -7 = 17 17 + 4x + -2x + -3x = -9 Combine like terms: 4x + -2x = 2x 17 + 2x + -3x = -9 Combine like terms: 2x + -3x = -1x 17 + -1x = -9 Solving 17 + -1x = -9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -1x = -9 + -17 Combine like terms: 17 + -17 = 0 0 + -1x = -9 + -17 -1x = -9 + -17 Combine like terms: -9 + -17 = -26 -1x = -26 Divide each side by '-1'. x = 26 Simplifying x = 26
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