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Simplifying 5(5x + 7) = 3(8x + 6) + -5 Reorder the terms: 5(7 + 5x) = 3(8x + 6) + -5 (7 * 5 + 5x * 5) = 3(8x + 6) + -5 (35 + 25x) = 3(8x + 6) + -5 Reorder the terms: 35 + 25x = 3(6 + 8x) + -5 35 + 25x = (6 * 3 + 8x * 3) + -5 35 + 25x = (18 + 24x) + -5 Reorder the terms: 35 + 25x = 18 + -5 + 24x Combine like terms: 18 + -5 = 13 35 + 25x = 13 + 24x Solving 35 + 25x = 13 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 35 + 25x + -24x = 13 + 24x + -24x Combine like terms: 25x + -24x = 1x 35 + 1x = 13 + 24x + -24x Combine like terms: 24x + -24x = 0 35 + 1x = 13 + 0 35 + 1x = 13 Add '-35' to each side of the equation. 35 + -35 + 1x = 13 + -35 Combine like terms: 35 + -35 = 0 0 + 1x = 13 + -35 1x = 13 + -35 Combine like terms: 13 + -35 = -22 1x = -22 Divide each side by '1'. x = -22 Simplifying x = -22
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