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Simplifying -29 + -5x = 2(4x + 5) Reorder the terms: -29 + -5x = 2(5 + 4x) -29 + -5x = (5 * 2 + 4x * 2) -29 + -5x = (10 + 8x) Solving -29 + -5x = 10 + 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 + -5x + -8x = 10 + 8x + -8x Combine like terms: -5x + -8x = -13x -29 + -13x = 10 + 8x + -8x Combine like terms: 8x + -8x = 0 -29 + -13x = 10 + 0 -29 + -13x = 10 Add '29' to each side of the equation. -29 + 29 + -13x = 10 + 29 Combine like terms: -29 + 29 = 0 0 + -13x = 10 + 29 -13x = 10 + 29 Combine like terms: 10 + 29 = 39 -13x = 39 Divide each side by '-13'. x = -3 Simplifying x = -3
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