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Simplifying 15x + 45 = 2x(12) Reorder the terms: 45 + 15x = 2x(12) Reorder the terms for easier multiplication: 45 + 15x = 2 * 12x Multiply 2 * 12 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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