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Simplifying 5(5x + 3) = 3(8x + -3) + 4 Reorder the terms: 5(3 + 5x) = 3(8x + -3) + 4 (3 * 5 + 5x * 5) = 3(8x + -3) + 4 (15 + 25x) = 3(8x + -3) + 4 Reorder the terms: 15 + 25x = 3(-3 + 8x) + 4 15 + 25x = (-3 * 3 + 8x * 3) + 4 15 + 25x = (-9 + 24x) + 4 Reorder the terms: 15 + 25x = -9 + 4 + 24x Combine like terms: -9 + 4 = -5 15 + 25x = -5 + 24x Solving 15 + 25x = -5 + 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 = -5 + 24x + -24x Combine like terms: 25x + -24x = 1x 15 + 1x = -5 + 24x + -24x Combine like terms: 24x + -24x = 0 15 + 1x = -5 + 0 15 + 1x = -5 Add '-15' to each side of the equation. 15 + -15 + 1x = -5 + -15 Combine like terms: 15 + -15 = 0 0 + 1x = -5 + -15 1x = -5 + -15 Combine like terms: -5 + -15 = -20 1x = -20 Divide each side by '1'. x = -20 Simplifying x = -20
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