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Simplifying 5(2x + -4) = 7(x + 1) + -3 Reorder the terms: 5(-4 + 2x) = 7(x + 1) + -3 (-4 * 5 + 2x * 5) = 7(x + 1) + -3 (-20 + 10x) = 7(x + 1) + -3 Reorder the terms: -20 + 10x = 7(1 + x) + -3 -20 + 10x = (1 * 7 + x * 7) + -3 -20 + 10x = (7 + 7x) + -3 Reorder the terms: -20 + 10x = 7 + -3 + 7x Combine like terms: 7 + -3 = 4 -20 + 10x = 4 + 7x Solving -20 + 10x = 4 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -20 + 10x + -7x = 4 + 7x + -7x Combine like terms: 10x + -7x = 3x -20 + 3x = 4 + 7x + -7x Combine like terms: 7x + -7x = 0 -20 + 3x = 4 + 0 -20 + 3x = 4 Add '20' to each side of the equation. -20 + 20 + 3x = 4 + 20 Combine like terms: -20 + 20 = 0 0 + 3x = 4 + 20 3x = 4 + 20 Combine like terms: 4 + 20 = 24 3x = 24 Divide each side by '3'. x = 8 Simplifying x = 8
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