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Simplifying 5(4x + 5) = 7(x + 5) + -18 Reorder the terms: 5(5 + 4x) = 7(x + 5) + -18 (5 * 5 + 4x * 5) = 7(x + 5) + -18 (25 + 20x) = 7(x + 5) + -18 Reorder the terms: 25 + 20x = 7(5 + x) + -18 25 + 20x = (5 * 7 + x * 7) + -18 25 + 20x = (35 + 7x) + -18 Reorder the terms: 25 + 20x = 35 + -18 + 7x Combine like terms: 35 + -18 = 17 25 + 20x = 17 + 7x Solving 25 + 20x = 17 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 25 + 20x + -7x = 17 + 7x + -7x Combine like terms: 20x + -7x = 13x 25 + 13x = 17 + 7x + -7x Combine like terms: 7x + -7x = 0 25 + 13x = 17 + 0 25 + 13x = 17 Add '-25' to each side of the equation. 25 + -25 + 13x = 17 + -25 Combine like terms: 25 + -25 = 0 0 + 13x = 17 + -25 13x = 17 + -25 Combine like terms: 17 + -25 = -8 13x = -8 Divide each side by '13'. x = -0.6153846154 Simplifying x = -0.6153846154
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