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Simplifying 29 + 7x = -6(-1x + -4) Reorder the terms: 29 + 7x = -6(-4 + -1x) 29 + 7x = (-4 * -6 + -1x * -6) 29 + 7x = (24 + 6x) Solving 29 + 7x = 24 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 29 + 7x + -6x = 24 + 6x + -6x Combine like terms: 7x + -6x = 1x 29 + 1x = 24 + 6x + -6x Combine like terms: 6x + -6x = 0 29 + 1x = 24 + 0 29 + 1x = 24 Add '-29' to each side of the equation. 29 + -29 + 1x = 24 + -29 Combine like terms: 29 + -29 = 0 0 + 1x = 24 + -29 1x = 24 + -29 Combine like terms: 24 + -29 = -5 1x = -5 Divide each side by '1'. x = -5 Simplifying x = -5
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