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Simplifying 18 + -6(4 + 2x) = 15 + 3(x + 5) 18 + (4 * -6 + 2x * -6) = 15 + 3(x + 5) 18 + (-24 + -12x) = 15 + 3(x + 5) Combine like terms: 18 + -24 = -6 -6 + -12x = 15 + 3(x + 5) Reorder the terms: -6 + -12x = 15 + 3(5 + x) -6 + -12x = 15 + (5 * 3 + x * 3) -6 + -12x = 15 + (15 + 3x) Combine like terms: 15 + 15 = 30 -6 + -12x = 30 + 3x Solving -6 + -12x = 30 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -6 + -12x + -3x = 30 + 3x + -3x Combine like terms: -12x + -3x = -15x -6 + -15x = 30 + 3x + -3x Combine like terms: 3x + -3x = 0 -6 + -15x = 30 + 0 -6 + -15x = 30 Add '6' to each side of the equation. -6 + 6 + -15x = 30 + 6 Combine like terms: -6 + 6 = 0 0 + -15x = 30 + 6 -15x = 30 + 6 Combine like terms: 30 + 6 = 36 -15x = 36 Divide each side by '-15'. x = -2.4 Simplifying x = -2.4
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