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Simplifying 4(5 + -2x) = 10 + 2x + -7 + -7x (5 * 4 + -2x * 4) = 10 + 2x + -7 + -7x (20 + -8x) = 10 + 2x + -7 + -7x Reorder the terms: 20 + -8x = 10 + -7 + 2x + -7x Combine like terms: 10 + -7 = 3 20 + -8x = 3 + 2x + -7x Combine like terms: 2x + -7x = -5x 20 + -8x = 3 + -5x Solving 20 + -8x = 3 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 20 + -8x + 5x = 3 + -5x + 5x Combine like terms: -8x + 5x = -3x 20 + -3x = 3 + -5x + 5x Combine like terms: -5x + 5x = 0 20 + -3x = 3 + 0 20 + -3x = 3 Add '-20' to each side of the equation. 20 + -20 + -3x = 3 + -20 Combine like terms: 20 + -20 = 0 0 + -3x = 3 + -20 -3x = 3 + -20 Combine like terms: 3 + -20 = -17 -3x = -17 Divide each side by '-3'. x = 5.666666667 Simplifying x = 5.666666667
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