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Simplifying 3(x + 13) = 4(x + -15) Reorder the terms: 3(13 + x) = 4(x + -15) (13 * 3 + x * 3) = 4(x + -15) (39 + 3x) = 4(x + -15) Reorder the terms: 39 + 3x = 4(-15 + x) 39 + 3x = (-15 * 4 + x * 4) 39 + 3x = (-60 + 4x) Solving 39 + 3x = -60 + 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. 39 + 3x + -4x = -60 + 4x + -4x Combine like terms: 3x + -4x = -1x 39 + -1x = -60 + 4x + -4x Combine like terms: 4x + -4x = 0 39 + -1x = -60 + 0 39 + -1x = -60 Add '-39' to each side of the equation. 39 + -39 + -1x = -60 + -39 Combine like terms: 39 + -39 = 0 0 + -1x = -60 + -39 -1x = -60 + -39 Combine like terms: -60 + -39 = -99 -1x = -99 Divide each side by '-1'. x = 99 Simplifying x = 99
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