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Simplifying 5(x + 5) = 3(3 + -1x) + -13 Reorder the terms: 5(5 + x) = 3(3 + -1x) + -13 (5 * 5 + x * 5) = 3(3 + -1x) + -13 (25 + 5x) = 3(3 + -1x) + -13 25 + 5x = (3 * 3 + -1x * 3) + -13 25 + 5x = (9 + -3x) + -13 Reorder the terms: 25 + 5x = 9 + -13 + -3x Combine like terms: 9 + -13 = -4 25 + 5x = -4 + -3x Solving 25 + 5x = -4 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 25 + 5x + 3x = -4 + -3x + 3x Combine like terms: 5x + 3x = 8x 25 + 8x = -4 + -3x + 3x Combine like terms: -3x + 3x = 0 25 + 8x = -4 + 0 25 + 8x = -4 Add '-25' to each side of the equation. 25 + -25 + 8x = -4 + -25 Combine like terms: 25 + -25 = 0 0 + 8x = -4 + -25 8x = -4 + -25 Combine like terms: -4 + -25 = -29 8x = -29 Divide each side by '8'. x = -3.625 Simplifying x = -3.625
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