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Simplifying -3x + -12(x + 2) = -2(7x + 5) Reorder the terms: -3x + -12(2 + x) = -2(7x + 5) -3x + (2 * -12 + x * -12) = -2(7x + 5) -3x + (-24 + -12x) = -2(7x + 5) Reorder the terms: -24 + -3x + -12x = -2(7x + 5) Combine like terms: -3x + -12x = -15x -24 + -15x = -2(7x + 5) Reorder the terms: -24 + -15x = -2(5 + 7x) -24 + -15x = (5 * -2 + 7x * -2) -24 + -15x = (-10 + -14x) Solving -24 + -15x = -10 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. -24 + -15x + 14x = -10 + -14x + 14x Combine like terms: -15x + 14x = -1x -24 + -1x = -10 + -14x + 14x Combine like terms: -14x + 14x = 0 -24 + -1x = -10 + 0 -24 + -1x = -10 Add '24' to each side of the equation. -24 + 24 + -1x = -10 + 24 Combine like terms: -24 + 24 = 0 0 + -1x = -10 + 24 -1x = -10 + 24 Combine like terms: -10 + 24 = 14 -1x = 14 Divide each side by '-1'. x = -14 Simplifying x = -14
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