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Simplifying 7 + 4(5x + -6) = 8 + -4(2x + 1) Reorder the terms: 7 + 4(-6 + 5x) = 8 + -4(2x + 1) 7 + (-6 * 4 + 5x * 4) = 8 + -4(2x + 1) 7 + (-24 + 20x) = 8 + -4(2x + 1) Combine like terms: 7 + -24 = -17 -17 + 20x = 8 + -4(2x + 1) Reorder the terms: -17 + 20x = 8 + -4(1 + 2x) -17 + 20x = 8 + (1 * -4 + 2x * -4) -17 + 20x = 8 + (-4 + -8x) Combine like terms: 8 + -4 = 4 -17 + 20x = 4 + -8x Solving -17 + 20x = 4 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -17 + 20x + 8x = 4 + -8x + 8x Combine like terms: 20x + 8x = 28x -17 + 28x = 4 + -8x + 8x Combine like terms: -8x + 8x = 0 -17 + 28x = 4 + 0 -17 + 28x = 4 Add '17' to each side of the equation. -17 + 17 + 28x = 4 + 17 Combine like terms: -17 + 17 = 0 0 + 28x = 4 + 17 28x = 4 + 17 Combine like terms: 4 + 17 = 21 28x = 21 Divide each side by '28'. x = 0.75 Simplifying x = 0.75
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