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Simplifying 29 + 5x = 4x + -7(2 + 6x) 29 + 5x = 4x + (2 * -7 + 6x * -7) 29 + 5x = 4x + (-14 + -42x) Reorder the terms: 29 + 5x = -14 + 4x + -42x Combine like terms: 4x + -42x = -38x 29 + 5x = -14 + -38x Solving 29 + 5x = -14 + -38x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '38x' to each side of the equation. 29 + 5x + 38x = -14 + -38x + 38x Combine like terms: 5x + 38x = 43x 29 + 43x = -14 + -38x + 38x Combine like terms: -38x + 38x = 0 29 + 43x = -14 + 0 29 + 43x = -14 Add '-29' to each side of the equation. 29 + -29 + 43x = -14 + -29 Combine like terms: 29 + -29 = 0 0 + 43x = -14 + -29 43x = -14 + -29 Combine like terms: -14 + -29 = -43 43x = -43 Divide each side by '43'. x = -1 Simplifying x = -1
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