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Simplifying -7(-1 + 4x) = -6x + 29 (-1 * -7 + 4x * -7) = -6x + 29 (7 + -28x) = -6x + 29 Reorder the terms: 7 + -28x = 29 + -6x Solving 7 + -28x = 29 + -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. 7 + -28x + 6x = 29 + -6x + 6x Combine like terms: -28x + 6x = -22x 7 + -22x = 29 + -6x + 6x Combine like terms: -6x + 6x = 0 7 + -22x = 29 + 0 7 + -22x = 29 Add '-7' to each side of the equation. 7 + -7 + -22x = 29 + -7 Combine like terms: 7 + -7 = 0 0 + -22x = 29 + -7 -22x = 29 + -7 Combine like terms: 29 + -7 = 22 -22x = 22 Divide each side by '-22'. x = -1 Simplifying x = -1
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