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Simplifying -5 + 5(4x + 7) = 8 + -4(5x + -5) Reorder the terms: -5 + 5(7 + 4x) = 8 + -4(5x + -5) -5 + (7 * 5 + 4x * 5) = 8 + -4(5x + -5) -5 + (35 + 20x) = 8 + -4(5x + -5) Combine like terms: -5 + 35 = 30 30 + 20x = 8 + -4(5x + -5) Reorder the terms: 30 + 20x = 8 + -4(-5 + 5x) 30 + 20x = 8 + (-5 * -4 + 5x * -4) 30 + 20x = 8 + (20 + -20x) Combine like terms: 8 + 20 = 28 30 + 20x = 28 + -20x Solving 30 + 20x = 28 + -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. 30 + 20x + 20x = 28 + -20x + 20x Combine like terms: 20x + 20x = 40x 30 + 40x = 28 + -20x + 20x Combine like terms: -20x + 20x = 0 30 + 40x = 28 + 0 30 + 40x = 28 Add '-30' to each side of the equation. 30 + -30 + 40x = 28 + -30 Combine like terms: 30 + -30 = 0 0 + 40x = 28 + -30 40x = 28 + -30 Combine like terms: 28 + -30 = -2 40x = -2 Divide each side by '40'. x = -0.05 Simplifying x = -0.05
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