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Simplifying 3(x + 13) + -15 = 4x + -8 + -9 Reorder the terms: 3(13 + x) + -15 = 4x + -8 + -9 (13 * 3 + x * 3) + -15 = 4x + -8 + -9 (39 + 3x) + -15 = 4x + -8 + -9 Reorder the terms: 39 + -15 + 3x = 4x + -8 + -9 Combine like terms: 39 + -15 = 24 24 + 3x = 4x + -8 + -9 Reorder the terms: 24 + 3x = -8 + -9 + 4x Combine like terms: -8 + -9 = -17 24 + 3x = -17 + 4x Solving 24 + 3x = -17 + 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. 24 + 3x + -4x = -17 + 4x + -4x Combine like terms: 3x + -4x = -1x 24 + -1x = -17 + 4x + -4x Combine like terms: 4x + -4x = 0 24 + -1x = -17 + 0 24 + -1x = -17 Add '-24' to each side of the equation. 24 + -24 + -1x = -17 + -24 Combine like terms: 24 + -24 = 0 0 + -1x = -17 + -24 -1x = -17 + -24 Combine like terms: -17 + -24 = -41 -1x = -41 Divide each side by '-1'. x = 41 Simplifying x = 41
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