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Simplifying 3(2x + 15) = 3(3x + -2) Reorder the terms: 3(15 + 2x) = 3(3x + -2) (15 * 3 + 2x * 3) = 3(3x + -2) (45 + 6x) = 3(3x + -2) Reorder the terms: 45 + 6x = 3(-2 + 3x) 45 + 6x = (-2 * 3 + 3x * 3) 45 + 6x = (-6 + 9x) Solving 45 + 6x = -6 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 45 + 6x + -9x = -6 + 9x + -9x Combine like terms: 6x + -9x = -3x 45 + -3x = -6 + 9x + -9x Combine like terms: 9x + -9x = 0 45 + -3x = -6 + 0 45 + -3x = -6 Add '-45' to each side of the equation. 45 + -45 + -3x = -6 + -45 Combine like terms: 45 + -45 = 0 0 + -3x = -6 + -45 -3x = -6 + -45 Combine like terms: -6 + -45 = -51 -3x = -51 Divide each side by '-3'. x = 17 Simplifying x = 17
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