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Simplifying -7(4x + -2) = 5(2x + 1) Reorder the terms: -7(-2 + 4x) = 5(2x + 1) (-2 * -7 + 4x * -7) = 5(2x + 1) (14 + -28x) = 5(2x + 1) Reorder the terms: 14 + -28x = 5(1 + 2x) 14 + -28x = (1 * 5 + 2x * 5) 14 + -28x = (5 + 10x) Solving 14 + -28x = 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 + -28x + -10x = 5 + 10x + -10x Combine like terms: -28x + -10x = -38x 14 + -38x = 5 + 10x + -10x Combine like terms: 10x + -10x = 0 14 + -38x = 5 + 0 14 + -38x = 5 Add '-14' to each side of the equation. 14 + -14 + -38x = 5 + -14 Combine like terms: 14 + -14 = 0 0 + -38x = 5 + -14 -38x = 5 + -14 Combine like terms: 5 + -14 = -9 -38x = -9 Divide each side by '-38'. x = 0.2368421053 Simplifying x = 0.2368421053
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