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Simplifying -4x + 29 = 5(4x + 1) Reorder the terms: 29 + -4x = 5(4x + 1) Reorder the terms: 29 + -4x = 5(1 + 4x) 29 + -4x = (1 * 5 + 4x * 5) 29 + -4x = (5 + 20x) Solving 29 + -4x = 5 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 29 + -4x + -20x = 5 + 20x + -20x Combine like terms: -4x + -20x = -24x 29 + -24x = 5 + 20x + -20x Combine like terms: 20x + -20x = 0 29 + -24x = 5 + 0 29 + -24x = 5 Add '-29' to each side of the equation. 29 + -29 + -24x = 5 + -29 Combine like terms: 29 + -29 = 0 0 + -24x = 5 + -29 -24x = 5 + -29 Combine like terms: 5 + -29 = -24 -24x = -24 Divide each side by '-24'. x = 1 Simplifying x = 1
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