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Simplifying 4(x + 6) + -5x = 2x + -1(4 + 5x) Reorder the terms: 4(6 + x) + -5x = 2x + -1(4 + 5x) (6 * 4 + x * 4) + -5x = 2x + -1(4 + 5x) (24 + 4x) + -5x = 2x + -1(4 + 5x) Combine like terms: 4x + -5x = -1x 24 + -1x = 2x + -1(4 + 5x) 24 + -1x = 2x + (4 * -1 + 5x * -1) 24 + -1x = 2x + (-4 + -5x) Reorder the terms: 24 + -1x = -4 + 2x + -5x Combine like terms: 2x + -5x = -3x 24 + -1x = -4 + -3x Solving 24 + -1x = -4 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 24 + -1x + 3x = -4 + -3x + 3x Combine like terms: -1x + 3x = 2x 24 + 2x = -4 + -3x + 3x Combine like terms: -3x + 3x = 0 24 + 2x = -4 + 0 24 + 2x = -4 Add '-24' to each side of the equation. 24 + -24 + 2x = -4 + -24 Combine like terms: 24 + -24 = 0 0 + 2x = -4 + -24 2x = -4 + -24 Combine like terms: -4 + -24 = -28 2x = -28 Divide each side by '2'. x = -14 Simplifying x = -14
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