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Simplifying 3(3x + 15) = 2(4x + 4) Reorder the terms: 3(15 + 3x) = 2(4x + 4) (15 * 3 + 3x * 3) = 2(4x + 4) (45 + 9x) = 2(4x + 4) Reorder the terms: 45 + 9x = 2(4 + 4x) 45 + 9x = (4 * 2 + 4x * 2) 45 + 9x = (8 + 8x) Solving 45 + 9x = 8 + 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. 45 + 9x + -8x = 8 + 8x + -8x Combine like terms: 9x + -8x = 1x 45 + 1x = 8 + 8x + -8x Combine like terms: 8x + -8x = 0 45 + 1x = 8 + 0 45 + 1x = 8 Add '-45' to each side of the equation. 45 + -45 + 1x = 8 + -45 Combine like terms: 45 + -45 = 0 0 + 1x = 8 + -45 1x = 8 + -45 Combine like terms: 8 + -45 = -37 1x = -37 Divide each side by '1'. x = -37 Simplifying x = -37
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