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Simplifying 15(x + 3) = 12(2x) Reorder the terms: 15(3 + x) = 12(2x) (3 * 15 + x * 15) = 12(2x) (45 + 15x) = 12(2x) Remove parenthesis around (2x) 45 + 15x = 12 * 2x Multiply 12 * 2 45 + 15x = 24x Solving 45 + 15x = 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 45 + 15x + -24x = 24x + -24x Combine like terms: 15x + -24x = -9x 45 + -9x = 24x + -24x Combine like terms: 24x + -24x = 0 45 + -9x = 0 Add '-45' to each side of the equation. 45 + -45 + -9x = 0 + -45 Combine like terms: 45 + -45 = 0 0 + -9x = 0 + -45 -9x = 0 + -45 Combine like terms: 0 + -45 = -45 -9x = -45 Divide each side by '-9'. x = 5 Simplifying x = 5
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