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Simplifying -5(-5x + -3) = -3 + 8(1 + 3x) Reorder the terms: -5(-3 + -5x) = -3 + 8(1 + 3x) (-3 * -5 + -5x * -5) = -3 + 8(1 + 3x) (15 + 25x) = -3 + 8(1 + 3x) 15 + 25x = -3 + (1 * 8 + 3x * 8) 15 + 25x = -3 + (8 + 24x) Combine like terms: -3 + 8 = 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 = -10 1x = -10 Divide each side by '1'. x = -10 Simplifying x = -10
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