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