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Simplifying 4(2 + -2x) + 7x = 5(2 + 2x) (2 * 4 + -2x * 4) + 7x = 5(2 + 2x) (8 + -8x) + 7x = 5(2 + 2x) Combine like terms: -8x + 7x = -1x 8 + -1x = 5(2 + 2x) 8 + -1x = (2 * 5 + 2x * 5) 8 + -1x = (10 + 10x) Solving 8 + -1x = 10 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 8 + -1x + -10x = 10 + 10x + -10x Combine like terms: -1x + -10x = -11x 8 + -11x = 10 + 10x + -10x Combine like terms: 10x + -10x = 0 8 + -11x = 10 + 0 8 + -11x = 10 Add '-8' to each side of the equation. 8 + -8 + -11x = 10 + -8 Combine like terms: 8 + -8 = 0 0 + -11x = 10 + -8 -11x = 10 + -8 Combine like terms: 10 + -8 = 2 -11x = 2 Divide each side by '-11'. x = -0.1818181818 Simplifying x = -0.1818181818
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