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Simplifying 4(x + 5) * 5 = 2x + -4 Reorder the terms: 4(5 + x) * 5 = 2x + -4 Reorder the terms for easier multiplication: 4 * 5(5 + x) = 2x + -4 Multiply 4 * 5 20(5 + x) = 2x + -4 (5 * 20 + x * 20) = 2x + -4 (100 + 20x) = 2x + -4 Reorder the terms: 100 + 20x = -4 + 2x Solving 100 + 20x = -4 + 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. 100 + 20x + -2x = -4 + 2x + -2x Combine like terms: 20x + -2x = 18x 100 + 18x = -4 + 2x + -2x Combine like terms: 2x + -2x = 0 100 + 18x = -4 + 0 100 + 18x = -4 Add '-100' to each side of the equation. 100 + -100 + 18x = -4 + -100 Combine like terms: 100 + -100 = 0 0 + 18x = -4 + -100 18x = -4 + -100 Combine like terms: -4 + -100 = -104 18x = -104 Divide each side by '18'. x = -5.777777778 Simplifying x = -5.777777778
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