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Simplifying 5(x + 5) = -2(x + -4) + 3 Reorder the terms: 5(5 + x) = -2(x + -4) + 3 (5 * 5 + x * 5) = -2(x + -4) + 3 (25 + 5x) = -2(x + -4) + 3 Reorder the terms: 25 + 5x = -2(-4 + x) + 3 25 + 5x = (-4 * -2 + x * -2) + 3 25 + 5x = (8 + -2x) + 3 Reorder the terms: 25 + 5x = 8 + 3 + -2x Combine like terms: 8 + 3 = 11 25 + 5x = 11 + -2x Solving 25 + 5x = 11 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 25 + 5x + 2x = 11 + -2x + 2x Combine like terms: 5x + 2x = 7x 25 + 7x = 11 + -2x + 2x Combine like terms: -2x + 2x = 0 25 + 7x = 11 + 0 25 + 7x = 11 Add '-25' to each side of the equation. 25 + -25 + 7x = 11 + -25 Combine like terms: 25 + -25 = 0 0 + 7x = 11 + -25 7x = 11 + -25 Combine like terms: 11 + -25 = -14 7x = -14 Divide each side by '7'. x = -2 Simplifying x = -2
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