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Simplifying 5(3 + 2x) = 12 + -4(x + -6) (3 * 5 + 2x * 5) = 12 + -4(x + -6) (15 + 10x) = 12 + -4(x + -6) Reorder the terms: 15 + 10x = 12 + -4(-6 + x) 15 + 10x = 12 + (-6 * -4 + x * -4) 15 + 10x = 12 + (24 + -4x) Combine like terms: 12 + 24 = 36 15 + 10x = 36 + -4x Solving 15 + 10x = 36 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 15 + 10x + 4x = 36 + -4x + 4x Combine like terms: 10x + 4x = 14x 15 + 14x = 36 + -4x + 4x Combine like terms: -4x + 4x = 0 15 + 14x = 36 + 0 15 + 14x = 36 Add '-15' to each side of the equation. 15 + -15 + 14x = 36 + -15 Combine like terms: 15 + -15 = 0 0 + 14x = 36 + -15 14x = 36 + -15 Combine like terms: 36 + -15 = 21 14x = 21 Divide each side by '14'. x = 1.5 Simplifying x = 1.5
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