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Simplifying 18(x + 2) = 15(x + 2) Reorder the terms: 18(2 + x) = 15(x + 2) (2 * 18 + x * 18) = 15(x + 2) (36 + 18x) = 15(x + 2) Reorder the terms: 36 + 18x = 15(2 + x) 36 + 18x = (2 * 15 + x * 15) 36 + 18x = (30 + 15x) Solving 36 + 18x = 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. 36 + 18x + -15x = 30 + 15x + -15x Combine like terms: 18x + -15x = 3x 36 + 3x = 30 + 15x + -15x Combine like terms: 15x + -15x = 0 36 + 3x = 30 + 0 36 + 3x = 30 Add '-36' to each side of the equation. 36 + -36 + 3x = 30 + -36 Combine like terms: 36 + -36 = 0 0 + 3x = 30 + -36 3x = 30 + -36 Combine like terms: 30 + -36 = -6 3x = -6 Divide each side by '3'. x = -2 Simplifying x = -2
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