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Simplifying 5 + 3(x + 7) = 2(4x + -9) Reorder the terms: 5 + 3(7 + x) = 2(4x + -9) 5 + (7 * 3 + x * 3) = 2(4x + -9) 5 + (21 + 3x) = 2(4x + -9) Combine like terms: 5 + 21 = 26 26 + 3x = 2(4x + -9) Reorder the terms: 26 + 3x = 2(-9 + 4x) 26 + 3x = (-9 * 2 + 4x * 2) 26 + 3x = (-18 + 8x) Solving 26 + 3x = -18 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 26 + 3x + -8x = -18 + 8x + -8x Combine like terms: 3x + -8x = -5x 26 + -5x = -18 + 8x + -8x Combine like terms: 8x + -8x = 0 26 + -5x = -18 + 0 26 + -5x = -18 Add '-26' to each side of the equation. 26 + -26 + -5x = -18 + -26 Combine like terms: 26 + -26 = 0 0 + -5x = -18 + -26 -5x = -18 + -26 Combine like terms: -18 + -26 = -44 -5x = -44 Divide each side by '-5'. x = 8.8 Simplifying x = 8.8
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