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Simplifying 5(2x + 6) = 4(2 + -7x) Reorder the terms: 5(6 + 2x) = 4(2 + -7x) (6 * 5 + 2x * 5) = 4(2 + -7x) (30 + 10x) = 4(2 + -7x) 30 + 10x = (2 * 4 + -7x * 4) 30 + 10x = (8 + -28x) Solving 30 + 10x = 8 + -28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '28x' to each side of the equation. 30 + 10x + 28x = 8 + -28x + 28x Combine like terms: 10x + 28x = 38x 30 + 38x = 8 + -28x + 28x Combine like terms: -28x + 28x = 0 30 + 38x = 8 + 0 30 + 38x = 8 Add '-30' to each side of the equation. 30 + -30 + 38x = 8 + -30 Combine like terms: 30 + -30 = 0 0 + 38x = 8 + -30 38x = 8 + -30 Combine like terms: 8 + -30 = -22 38x = -22 Divide each side by '38'. x = -0.5789473684 Simplifying x = -0.5789473684
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