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Simplifying 7(x + -8) = 4(x + 16) Reorder the terms: 7(-8 + x) = 4(x + 16) (-8 * 7 + x * 7) = 4(x + 16) (-56 + 7x) = 4(x + 16) Reorder the terms: -56 + 7x = 4(16 + x) -56 + 7x = (16 * 4 + x * 4) -56 + 7x = (64 + 4x) Solving -56 + 7x = 64 + 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 = 64 + 4x + -4x Combine like terms: 7x + -4x = 3x -56 + 3x = 64 + 4x + -4x Combine like terms: 4x + -4x = 0 -56 + 3x = 64 + 0 -56 + 3x = 64 Add '56' to each side of the equation. -56 + 56 + 3x = 64 + 56 Combine like terms: -56 + 56 = 0 0 + 3x = 64 + 56 3x = 64 + 56 Combine like terms: 64 + 56 = 120 3x = 120 Divide each side by '3'. x = 40 Simplifying x = 40
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