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Simplifying 3(x + 6) = 4(x + -8) Reorder the terms: 3(6 + x) = 4(x + -8) (6 * 3 + x * 3) = 4(x + -8) (18 + 3x) = 4(x + -8) Reorder the terms: 18 + 3x = 4(-8 + x) 18 + 3x = (-8 * 4 + x * 4) 18 + 3x = (-32 + 4x) Solving 18 + 3x = -32 + 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. 18 + 3x + -4x = -32 + 4x + -4x Combine like terms: 3x + -4x = -1x 18 + -1x = -32 + 4x + -4x Combine like terms: 4x + -4x = 0 18 + -1x = -32 + 0 18 + -1x = -32 Add '-18' to each side of the equation. 18 + -18 + -1x = -32 + -18 Combine like terms: 18 + -18 = 0 0 + -1x = -32 + -18 -1x = -32 + -18 Combine like terms: -32 + -18 = -50 -1x = -50 Divide each side by '-1'. x = 50 Simplifying x = 50
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