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Simplifying 45 + 12x = 30 + 15x Solving 45 + 12x = 30 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 45 + 12x + -15x = 30 + 15x + -15x Combine like terms: 12x + -15x = -3x 45 + -3x = 30 + 15x + -15x Combine like terms: 15x + -15x = 0 45 + -3x = 30 + 0 45 + -3x = 30 Add '-45' to each side of the equation. 45 + -45 + -3x = 30 + -45 Combine like terms: 45 + -45 = 0 0 + -3x = 30 + -45 -3x = 30 + -45 Combine like terms: 30 + -45 = -15 -3x = -15 Divide each side by '-3'. x = 5 Simplifying x = 5
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