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Simplifying -7(5x + 2) = 5(2x + 1) Reorder the terms: -7(2 + 5x) = 5(2x + 1) (2 * -7 + 5x * -7) = 5(2x + 1) (-14 + -35x) = 5(2x + 1) Reorder the terms: -14 + -35x = 5(1 + 2x) -14 + -35x = (1 * 5 + 2x * 5) -14 + -35x = (5 + 10x) Solving -14 + -35x = 5 + 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. -14 + -35x + -10x = 5 + 10x + -10x Combine like terms: -35x + -10x = -45x -14 + -45x = 5 + 10x + -10x Combine like terms: 10x + -10x = 0 -14 + -45x = 5 + 0 -14 + -45x = 5 Add '14' to each side of the equation. -14 + 14 + -45x = 5 + 14 Combine like terms: -14 + 14 = 0 0 + -45x = 5 + 14 -45x = 5 + 14 Combine like terms: 5 + 14 = 19 -45x = 19 Divide each side by '-45'. x = -0.4222222222 Simplifying x = -0.4222222222
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