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Simplifying 8(4x + -7) = 6(5x + 4) Reorder the terms: 8(-7 + 4x) = 6(5x + 4) (-7 * 8 + 4x * 8) = 6(5x + 4) (-56 + 32x) = 6(5x + 4) Reorder the terms: -56 + 32x = 6(4 + 5x) -56 + 32x = (4 * 6 + 5x * 6) -56 + 32x = (24 + 30x) Solving -56 + 32x = 24 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. -56 + 32x + -30x = 24 + 30x + -30x Combine like terms: 32x + -30x = 2x -56 + 2x = 24 + 30x + -30x Combine like terms: 30x + -30x = 0 -56 + 2x = 24 + 0 -56 + 2x = 24 Add '56' to each side of the equation. -56 + 56 + 2x = 24 + 56 Combine like terms: -56 + 56 = 0 0 + 2x = 24 + 56 2x = 24 + 56 Combine like terms: 24 + 56 = 80 2x = 80 Divide each side by '2'. x = 40 Simplifying x = 40
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