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Simplifying 5(2x + 5) = -4(-5 + -2x) + 3x Reorder the terms: 5(5 + 2x) = -4(-5 + -2x) + 3x (5 * 5 + 2x * 5) = -4(-5 + -2x) + 3x (25 + 10x) = -4(-5 + -2x) + 3x 25 + 10x = (-5 * -4 + -2x * -4) + 3x 25 + 10x = (20 + 8x) + 3x Combine like terms: 8x + 3x = 11x 25 + 10x = 20 + 11x Solving 25 + 10x = 20 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 25 + 10x + -11x = 20 + 11x + -11x Combine like terms: 10x + -11x = -1x 25 + -1x = 20 + 11x + -11x Combine like terms: 11x + -11x = 0 25 + -1x = 20 + 0 25 + -1x = 20 Add '-25' to each side of the equation. 25 + -25 + -1x = 20 + -25 Combine like terms: 25 + -25 = 0 0 + -1x = 20 + -25 -1x = 20 + -25 Combine like terms: 20 + -25 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5
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