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Simplifying 4[5 + -1(5x + -29)] = 80x + 52 Reorder the terms: 4[5 + -1(-29 + 5x)] = 80x + 52 4[5 + (-29 * -1 + 5x * -1)] = 80x + 52 4[5 + (29 + -5x)] = 80x + 52 Combine like terms: 5 + 29 = 34 4[34 + -5x] = 80x + 52 [34 * 4 + -5x * 4] = 80x + 52 [136 + -20x] = 80x + 52 Reorder the terms: 136 + -20x = 52 + 80x Solving 136 + -20x = 52 + 80x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-80x' to each side of the equation. 136 + -20x + -80x = 52 + 80x + -80x Combine like terms: -20x + -80x = -100x 136 + -100x = 52 + 80x + -80x Combine like terms: 80x + -80x = 0 136 + -100x = 52 + 0 136 + -100x = 52 Add '-136' to each side of the equation. 136 + -136 + -100x = 52 + -136 Combine like terms: 136 + -136 = 0 0 + -100x = 52 + -136 -100x = 52 + -136 Combine like terms: 52 + -136 = -84 -100x = -84 Divide each side by '-100'. x = 0.84 Simplifying x = 0.84
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