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Simplifying 5(7 + -4x) = 7 + -2(x + -2) (7 * 5 + -4x * 5) = 7 + -2(x + -2) (35 + -20x) = 7 + -2(x + -2) Reorder the terms: 35 + -20x = 7 + -2(-2 + x) 35 + -20x = 7 + (-2 * -2 + x * -2) 35 + -20x = 7 + (4 + -2x) Combine like terms: 7 + 4 = 11 35 + -20x = 11 + -2x Solving 35 + -20x = 11 + -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. 35 + -20x + 2x = 11 + -2x + 2x Combine like terms: -20x + 2x = -18x 35 + -18x = 11 + -2x + 2x Combine like terms: -2x + 2x = 0 35 + -18x = 11 + 0 35 + -18x = 11 Add '-35' to each side of the equation. 35 + -35 + -18x = 11 + -35 Combine like terms: 35 + -35 = 0 0 + -18x = 11 + -35 -18x = 11 + -35 Combine like terms: 11 + -35 = -24 -18x = -24 Divide each side by '-18'. x = 1.333333333 Simplifying x = 1.333333333
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