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Simplifying 29 + -1(3x + 7) = 2(x + 5) + x Reorder the terms: 29 + -1(7 + 3x) = 2(x + 5) + x 29 + (7 * -1 + 3x * -1) = 2(x + 5) + x 29 + (-7 + -3x) = 2(x + 5) + x Combine like terms: 29 + -7 = 22 22 + -3x = 2(x + 5) + x Reorder the terms: 22 + -3x = 2(5 + x) + x 22 + -3x = (5 * 2 + x * 2) + x 22 + -3x = (10 + 2x) + x Combine like terms: 2x + x = 3x 22 + -3x = 10 + 3x Solving 22 + -3x = 10 + 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. 22 + -3x + -3x = 10 + 3x + -3x Combine like terms: -3x + -3x = -6x 22 + -6x = 10 + 3x + -3x Combine like terms: 3x + -3x = 0 22 + -6x = 10 + 0 22 + -6x = 10 Add '-22' to each side of the equation. 22 + -22 + -6x = 10 + -22 Combine like terms: 22 + -22 = 0 0 + -6x = 10 + -22 -6x = 10 + -22 Combine like terms: 10 + -22 = -12 -6x = -12 Divide each side by '-6'. x = 2 Simplifying x = 2
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