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Simplifying 3(x + -1) + -2(4x + -6) = 14 + -10x Reorder the terms: 3(-1 + x) + -2(4x + -6) = 14 + -10x (-1 * 3 + x * 3) + -2(4x + -6) = 14 + -10x (-3 + 3x) + -2(4x + -6) = 14 + -10x Reorder the terms: -3 + 3x + -2(-6 + 4x) = 14 + -10x -3 + 3x + (-6 * -2 + 4x * -2) = 14 + -10x -3 + 3x + (12 + -8x) = 14 + -10x Reorder the terms: -3 + 12 + 3x + -8x = 14 + -10x Combine like terms: -3 + 12 = 9 9 + 3x + -8x = 14 + -10x Combine like terms: 3x + -8x = -5x 9 + -5x = 14 + -10x Solving 9 + -5x = 14 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 9 + -5x + 10x = 14 + -10x + 10x Combine like terms: -5x + 10x = 5x 9 + 5x = 14 + -10x + 10x Combine like terms: -10x + 10x = 0 9 + 5x = 14 + 0 9 + 5x = 14 Add '-9' to each side of the equation. 9 + -9 + 5x = 14 + -9 Combine like terms: 9 + -9 = 0 0 + 5x = 14 + -9 5x = 14 + -9 Combine like terms: 14 + -9 = 5 5x = 5 Divide each side by '5'. x = 1 Simplifying x = 1
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