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Simplifying -1x + 29 = 4(2x + 5) Reorder the terms: 29 + -1x = 4(2x + 5) Reorder the terms: 29 + -1x = 4(5 + 2x) 29 + -1x = (5 * 4 + 2x * 4) 29 + -1x = (20 + 8x) Solving 29 + -1x = 20 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 29 + -1x + -8x = 20 + 8x + -8x Combine like terms: -1x + -8x = -9x 29 + -9x = 20 + 8x + -8x Combine like terms: 8x + -8x = 0 29 + -9x = 20 + 0 29 + -9x = 20 Add '-29' to each side of the equation. 29 + -29 + -9x = 20 + -29 Combine like terms: 29 + -29 = 0 0 + -9x = 20 + -29 -9x = 20 + -29 Combine like terms: 20 + -29 = -9 -9x = -9 Divide each side by '-9'. x = 1 Simplifying x = 1
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