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Simplifying 13x + -29 = 0.25(20x + 44) Reorder the terms: -29 + 13x = 0.25(20x + 44) Reorder the terms: -29 + 13x = 0.25(44 + 20x) -29 + 13x = (44 * 0.25 + 20x * 0.25) -29 + 13x = (11 + 5x) Solving -29 + 13x = 11 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -29 + 13x + -5x = 11 + 5x + -5x Combine like terms: 13x + -5x = 8x -29 + 8x = 11 + 5x + -5x Combine like terms: 5x + -5x = 0 -29 + 8x = 11 + 0 -29 + 8x = 11 Add '29' to each side of the equation. -29 + 29 + 8x = 11 + 29 Combine like terms: -29 + 29 = 0 0 + 8x = 11 + 29 8x = 11 + 29 Combine like terms: 11 + 29 = 40 8x = 40 Divide each side by '8'. x = 5 Simplifying x = 5
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