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Simplifying 5(5x + 3) = 3(8x + -2 + 4) Reorder the terms: 5(3 + 5x) = 3(8x + -2 + 4) (3 * 5 + 5x * 5) = 3(8x + -2 + 4) (15 + 25x) = 3(8x + -2 + 4) Reorder the terms: 15 + 25x = 3(-2 + 4 + 8x) Combine like terms: -2 + 4 = 2 15 + 25x = 3(2 + 8x) 15 + 25x = (2 * 3 + 8x * 3) 15 + 25x = (6 + 24x) Solving 15 + 25x = 6 + 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. 15 + 25x + -24x = 6 + 24x + -24x Combine like terms: 25x + -24x = 1x 15 + 1x = 6 + 24x + -24x Combine like terms: 24x + -24x = 0 15 + 1x = 6 + 0 15 + 1x = 6 Add '-15' to each side of the equation. 15 + -15 + 1x = 6 + -15 Combine like terms: 15 + -15 = 0 0 + 1x = 6 + -15 1x = 6 + -15 Combine like terms: 6 + -15 = -9 1x = -9 Divide each side by '1'. x = -9 Simplifying x = -9
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