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Simplifying 4(1 + -3x) + -14 = 4(2x + 3) + -9x (1 * 4 + -3x * 4) + -14 = 4(2x + 3) + -9x (4 + -12x) + -14 = 4(2x + 3) + -9x Reorder the terms: 4 + -14 + -12x = 4(2x + 3) + -9x Combine like terms: 4 + -14 = -10 -10 + -12x = 4(2x + 3) + -9x Reorder the terms: -10 + -12x = 4(3 + 2x) + -9x -10 + -12x = (3 * 4 + 2x * 4) + -9x -10 + -12x = (12 + 8x) + -9x Combine like terms: 8x + -9x = -1x -10 + -12x = 12 + -1x Solving -10 + -12x = 12 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -10 + -12x + x = 12 + -1x + x Combine like terms: -12x + x = -11x -10 + -11x = 12 + -1x + x Combine like terms: -1x + x = 0 -10 + -11x = 12 + 0 -10 + -11x = 12 Add '10' to each side of the equation. -10 + 10 + -11x = 12 + 10 Combine like terms: -10 + 10 = 0 0 + -11x = 12 + 10 -11x = 12 + 10 Combine like terms: 12 + 10 = 22 -11x = 22 Divide each side by '-11'. x = -2 Simplifying x = -2
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