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Simplifying 12x + -3(2x + -5) = 30 + -4x Reorder the terms: 12x + -3(-5 + 2x) = 30 + -4x 12x + (-5 * -3 + 2x * -3) = 30 + -4x 12x + (15 + -6x) = 30 + -4x Reorder the terms: 15 + 12x + -6x = 30 + -4x Combine like terms: 12x + -6x = 6x 15 + 6x = 30 + -4x Solving 15 + 6x = 30 + -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 + 6x + 4x = 30 + -4x + 4x Combine like terms: 6x + 4x = 10x 15 + 10x = 30 + -4x + 4x Combine like terms: -4x + 4x = 0 15 + 10x = 30 + 0 15 + 10x = 30 Add '-15' to each side of the equation. 15 + -15 + 10x = 30 + -15 Combine like terms: 15 + -15 = 0 0 + 10x = 30 + -15 10x = 30 + -15 Combine like terms: 30 + -15 = 15 10x = 15 Divide each side by '10'. x = 1.5 Simplifying x = 1.5
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