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Simplifying 29 + -1(2x + 4) = 24 + -1(7 + -4x) Reorder the terms: 29 + -1(4 + 2x) = 24 + -1(7 + -4x) 29 + (4 * -1 + 2x * -1) = 24 + -1(7 + -4x) 29 + (-4 + -2x) = 24 + -1(7 + -4x) Combine like terms: 29 + -4 = 25 25 + -2x = 24 + -1(7 + -4x) 25 + -2x = 24 + (7 * -1 + -4x * -1) 25 + -2x = 24 + (-7 + 4x) Combine like terms: 24 + -7 = 17 25 + -2x = 17 + 4x Solving 25 + -2x = 17 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 25 + -2x + -4x = 17 + 4x + -4x Combine like terms: -2x + -4x = -6x 25 + -6x = 17 + 4x + -4x Combine like terms: 4x + -4x = 0 25 + -6x = 17 + 0 25 + -6x = 17 Add '-25' to each side of the equation. 25 + -25 + -6x = 17 + -25 Combine like terms: 25 + -25 = 0 0 + -6x = 17 + -25 -6x = 17 + -25 Combine like terms: 17 + -25 = -8 -6x = -8 Divide each side by '-6'. x = 1.333333333 Simplifying x = 1.333333333
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