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Simplifying 3(x + 1) = 4(x + -8) Reorder the terms: 3(1 + x) = 4(x + -8) (1 * 3 + x * 3) = 4(x + -8) (3 + 3x) = 4(x + -8) Reorder the terms: 3 + 3x = 4(-8 + x) 3 + 3x = (-8 * 4 + x * 4) 3 + 3x = (-32 + 4x) Solving 3 + 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. 3 + 3x + -4x = -32 + 4x + -4x Combine like terms: 3x + -4x = -1x 3 + -1x = -32 + 4x + -4x Combine like terms: 4x + -4x = 0 3 + -1x = -32 + 0 3 + -1x = -32 Add '-3' to each side of the equation. 3 + -3 + -1x = -32 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = -32 + -3 -1x = -32 + -3 Combine like terms: -32 + -3 = -35 -1x = -35 Divide each side by '-1'. x = 35 Simplifying x = 35
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