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Simplifying 14x + -1 = -3(1 + -2x) + 12 Reorder the terms: -1 + 14x = -3(1 + -2x) + 12 -1 + 14x = (1 * -3 + -2x * -3) + 12 -1 + 14x = (-3 + 6x) + 12 Reorder the terms: -1 + 14x = -3 + 12 + 6x Combine like terms: -3 + 12 = 9 -1 + 14x = 9 + 6x Solving -1 + 14x = 9 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -1 + 14x + -6x = 9 + 6x + -6x Combine like terms: 14x + -6x = 8x -1 + 8x = 9 + 6x + -6x Combine like terms: 6x + -6x = 0 -1 + 8x = 9 + 0 -1 + 8x = 9 Add '1' to each side of the equation. -1 + 1 + 8x = 9 + 1 Combine like terms: -1 + 1 = 0 0 + 8x = 9 + 1 8x = 9 + 1 Combine like terms: 9 + 1 = 10 8x = 10 Divide each side by '8'. x = 1.25 Simplifying x = 1.25
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