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Simplifying 3(x + 13) = 7x + -9 Reorder the terms: 3(13 + x) = 7x + -9 (13 * 3 + x * 3) = 7x + -9 (39 + 3x) = 7x + -9 Reorder the terms: 39 + 3x = -9 + 7x Solving 39 + 3x = -9 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 39 + 3x + -7x = -9 + 7x + -7x Combine like terms: 3x + -7x = -4x 39 + -4x = -9 + 7x + -7x Combine like terms: 7x + -7x = 0 39 + -4x = -9 + 0 39 + -4x = -9 Add '-39' to each side of the equation. 39 + -39 + -4x = -9 + -39 Combine like terms: 39 + -39 = 0 0 + -4x = -9 + -39 -4x = -9 + -39 Combine like terms: -9 + -39 = -48 -4x = -48 Divide each side by '-4'. x = 12 Simplifying x = 12
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