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Simplifying 2(4 + -5x) = 7(4 + -2x) (4 * 2 + -5x * 2) = 7(4 + -2x) (8 + -10x) = 7(4 + -2x) 8 + -10x = (4 * 7 + -2x * 7) 8 + -10x = (28 + -14x) Solving 8 + -10x = 28 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. 8 + -10x + 14x = 28 + -14x + 14x Combine like terms: -10x + 14x = 4x 8 + 4x = 28 + -14x + 14x Combine like terms: -14x + 14x = 0 8 + 4x = 28 + 0 8 + 4x = 28 Add '-8' to each side of the equation. 8 + -8 + 4x = 28 + -8 Combine like terms: 8 + -8 = 0 0 + 4x = 28 + -8 4x = 28 + -8 Combine like terms: 28 + -8 = 20 4x = 20 Divide each side by '4'. x = 5 Simplifying x = 5
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