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Simplifying 9 + 3(4x + -5) = 12 + -2(x + 30) Reorder the terms: 9 + 3(-5 + 4x) = 12 + -2(x + 30) 9 + (-5 * 3 + 4x * 3) = 12 + -2(x + 30) 9 + (-15 + 12x) = 12 + -2(x + 30) Combine like terms: 9 + -15 = -6 -6 + 12x = 12 + -2(x + 30) Reorder the terms: -6 + 12x = 12 + -2(30 + x) -6 + 12x = 12 + (30 * -2 + x * -2) -6 + 12x = 12 + (-60 + -2x) Combine like terms: 12 + -60 = -48 -6 + 12x = -48 + -2x Solving -6 + 12x = -48 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -6 + 12x + 2x = -48 + -2x + 2x Combine like terms: 12x + 2x = 14x -6 + 14x = -48 + -2x + 2x Combine like terms: -2x + 2x = 0 -6 + 14x = -48 + 0 -6 + 14x = -48 Add '6' to each side of the equation. -6 + 6 + 14x = -48 + 6 Combine like terms: -6 + 6 = 0 0 + 14x = -48 + 6 14x = -48 + 6 Combine like terms: -48 + 6 = -42 14x = -42 Divide each side by '14'. x = -3 Simplifying x = -3
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