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Simplifying 4(7x + -6) + -8x = 2(8x + 10) Reorder the terms: 4(-6 + 7x) + -8x = 2(8x + 10) (-6 * 4 + 7x * 4) + -8x = 2(8x + 10) (-24 + 28x) + -8x = 2(8x + 10) Combine like terms: 28x + -8x = 20x -24 + 20x = 2(8x + 10) Reorder the terms: -24 + 20x = 2(10 + 8x) -24 + 20x = (10 * 2 + 8x * 2) -24 + 20x = (20 + 16x) Solving -24 + 20x = 20 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -24 + 20x + -16x = 20 + 16x + -16x Combine like terms: 20x + -16x = 4x -24 + 4x = 20 + 16x + -16x Combine like terms: 16x + -16x = 0 -24 + 4x = 20 + 0 -24 + 4x = 20 Add '24' to each side of the equation. -24 + 24 + 4x = 20 + 24 Combine like terms: -24 + 24 = 0 0 + 4x = 20 + 24 4x = 20 + 24 Combine like terms: 20 + 24 = 44 4x = 44 Divide each side by '4'. x = 11 Simplifying x = 11
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