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Simplifying 3x + 18 = 3(5x + -2) Reorder the terms: 18 + 3x = 3(5x + -2) Reorder the terms: 18 + 3x = 3(-2 + 5x) 18 + 3x = (-2 * 3 + 5x * 3) 18 + 3x = (-6 + 15x) Solving 18 + 3x = -6 + 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. 18 + 3x + -15x = -6 + 15x + -15x Combine like terms: 3x + -15x = -12x 18 + -12x = -6 + 15x + -15x Combine like terms: 15x + -15x = 0 18 + -12x = -6 + 0 18 + -12x = -6 Add '-18' to each side of the equation. 18 + -18 + -12x = -6 + -18 Combine like terms: 18 + -18 = 0 0 + -12x = -6 + -18 -12x = -6 + -18 Combine like terms: -6 + -18 = -24 -12x = -24 Divide each side by '-12'. x = 2 Simplifying x = 2
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