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Simplifying 7(x + -8) = 4(x + 6) Reorder the terms: 7(-8 + x) = 4(x + 6) (-8 * 7 + x * 7) = 4(x + 6) (-56 + 7x) = 4(x + 6) Reorder the terms: -56 + 7x = 4(6 + x) -56 + 7x = (6 * 4 + x * 4) -56 + 7x = (24 + 4x) Solving -56 + 7x = 24 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -56 + 7x + -4x = 24 + 4x + -4x Combine like terms: 7x + -4x = 3x -56 + 3x = 24 + 4x + -4x Combine like terms: 4x + -4x = 0 -56 + 3x = 24 + 0 -56 + 3x = 24 Add '56' to each side of the equation. -56 + 56 + 3x = 24 + 56 Combine like terms: -56 + 56 = 0 0 + 3x = 24 + 56 3x = 24 + 56 Combine like terms: 24 + 56 = 80 3x = 80 Divide each side by '3'. x = 26.66666667 Simplifying x = 26.66666667
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