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Simplifying 10(2x + 6) = 4(7x + -2) Reorder the terms: 10(6 + 2x) = 4(7x + -2) (6 * 10 + 2x * 10) = 4(7x + -2) (60 + 20x) = 4(7x + -2) Reorder the terms: 60 + 20x = 4(-2 + 7x) 60 + 20x = (-2 * 4 + 7x * 4) 60 + 20x = (-8 + 28x) Solving 60 + 20x = -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. 60 + 20x + -28x = -8 + 28x + -28x Combine like terms: 20x + -28x = -8x 60 + -8x = -8 + 28x + -28x Combine like terms: 28x + -28x = 0 60 + -8x = -8 + 0 60 + -8x = -8 Add '-60' to each side of the equation. 60 + -60 + -8x = -8 + -60 Combine like terms: 60 + -60 = 0 0 + -8x = -8 + -60 -8x = -8 + -60 Combine like terms: -8 + -60 = -68 -8x = -68 Divide each side by '-8'. x = 8.5 Simplifying x = 8.5
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