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Simplifying 3(x + 7) = 4(x + -8) Reorder the terms: 3(7 + x) = 4(x + -8) (7 * 3 + x * 3) = 4(x + -8) (21 + 3x) = 4(x + -8) Reorder the terms: 21 + 3x = 4(-8 + x) 21 + 3x = (-8 * 4 + x * 4) 21 + 3x = (-32 + 4x) Solving 21 + 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. 21 + 3x + -4x = -32 + 4x + -4x Combine like terms: 3x + -4x = -1x 21 + -1x = -32 + 4x + -4x Combine like terms: 4x + -4x = 0 21 + -1x = -32 + 0 21 + -1x = -32 Add '-21' to each side of the equation. 21 + -21 + -1x = -32 + -21 Combine like terms: 21 + -21 = 0 0 + -1x = -32 + -21 -1x = -32 + -21 Combine like terms: -32 + -21 = -53 -1x = -53 Divide each side by '-1'. x = 53 Simplifying x = 53
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