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Simplifying 4(7x + -2) = 2(-5x + 6) Reorder the terms: 4(-2 + 7x) = 2(-5x + 6) (-2 * 4 + 7x * 4) = 2(-5x + 6) (-8 + 28x) = 2(-5x + 6) Reorder the terms: -8 + 28x = 2(6 + -5x) -8 + 28x = (6 * 2 + -5x * 2) -8 + 28x = (12 + -10x) Solving -8 + 28x = 12 + -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. -8 + 28x + 10x = 12 + -10x + 10x Combine like terms: 28x + 10x = 38x -8 + 38x = 12 + -10x + 10x Combine like terms: -10x + 10x = 0 -8 + 38x = 12 + 0 -8 + 38x = 12 Add '8' to each side of the equation. -8 + 8 + 38x = 12 + 8 Combine like terms: -8 + 8 = 0 0 + 38x = 12 + 8 38x = 12 + 8 Combine like terms: 12 + 8 = 20 38x = 20 Divide each side by '38'. x = 0.5263157895 Simplifying x = 0.5263157895
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