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Simplifying 4(7 + -1x) = 5(x + 2) (7 * 4 + -1x * 4) = 5(x + 2) (28 + -4x) = 5(x + 2) Reorder the terms: 28 + -4x = 5(2 + x) 28 + -4x = (2 * 5 + x * 5) 28 + -4x = (10 + 5x) Solving 28 + -4x = 10 + 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. 28 + -4x + -5x = 10 + 5x + -5x Combine like terms: -4x + -5x = -9x 28 + -9x = 10 + 5x + -5x Combine like terms: 5x + -5x = 0 28 + -9x = 10 + 0 28 + -9x = 10 Add '-28' to each side of the equation. 28 + -28 + -9x = 10 + -28 Combine like terms: 28 + -28 = 0 0 + -9x = 10 + -28 -9x = 10 + -28 Combine like terms: 10 + -28 = -18 -9x = -18 Divide each side by '-9'. x = 2 Simplifying x = 2
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