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Simplifying -6(2 + -3x) + -2(x + -1) = 14x (2 * -6 + -3x * -6) + -2(x + -1) = 14x (-12 + 18x) + -2(x + -1) = 14x Reorder the terms: -12 + 18x + -2(-1 + x) = 14x -12 + 18x + (-1 * -2 + x * -2) = 14x -12 + 18x + (2 + -2x) = 14x Reorder the terms: -12 + 2 + 18x + -2x = 14x Combine like terms: -12 + 2 = -10 -10 + 18x + -2x = 14x Combine like terms: 18x + -2x = 16x -10 + 16x = 14x Solving -10 + 16x = 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. -10 + 16x + -14x = 14x + -14x Combine like terms: 16x + -14x = 2x -10 + 2x = 14x + -14x Combine like terms: 14x + -14x = 0 -10 + 2x = 0 Add '10' to each side of the equation. -10 + 10 + 2x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 2x = 0 + 10 2x = 0 + 10 Combine like terms: 0 + 10 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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