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Simplifying 14x + -1(3x + 2) + -10 = 10x + -1 Reorder the terms: 14x + -1(2 + 3x) + -10 = 10x + -1 14x + (2 * -1 + 3x * -1) + -10 = 10x + -1 14x + (-2 + -3x) + -10 = 10x + -1 Reorder the terms: -2 + -10 + 14x + -3x = 10x + -1 Combine like terms: -2 + -10 = -12 -12 + 14x + -3x = 10x + -1 Combine like terms: 14x + -3x = 11x -12 + 11x = 10x + -1 Reorder the terms: -12 + 11x = -1 + 10x Solving -12 + 11x = -1 + 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. -12 + 11x + -10x = -1 + 10x + -10x Combine like terms: 11x + -10x = 1x -12 + 1x = -1 + 10x + -10x Combine like terms: 10x + -10x = 0 -12 + 1x = -1 + 0 -12 + 1x = -1 Add '12' to each side of the equation. -12 + 12 + 1x = -1 + 12 Combine like terms: -12 + 12 = 0 0 + 1x = -1 + 12 1x = -1 + 12 Combine like terms: -1 + 12 = 11 1x = 11 Divide each side by '1'. x = 11 Simplifying x = 11
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