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Simplifying 1 + -6(2x + 14) = x + 3(x + -1) Reorder the terms: 1 + -6(14 + 2x) = x + 3(x + -1) 1 + (14 * -6 + 2x * -6) = x + 3(x + -1) 1 + (-84 + -12x) = x + 3(x + -1) Combine like terms: 1 + -84 = -83 -83 + -12x = x + 3(x + -1) Reorder the terms: -83 + -12x = x + 3(-1 + x) -83 + -12x = x + (-1 * 3 + x * 3) -83 + -12x = x + (-3 + 3x) Reorder the terms: -83 + -12x = -3 + x + 3x Combine like terms: x + 3x = 4x -83 + -12x = -3 + 4x Solving -83 + -12x = -3 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -83 + -12x + -4x = -3 + 4x + -4x Combine like terms: -12x + -4x = -16x -83 + -16x = -3 + 4x + -4x Combine like terms: 4x + -4x = 0 -83 + -16x = -3 + 0 -83 + -16x = -3 Add '83' to each side of the equation. -83 + 83 + -16x = -3 + 83 Combine like terms: -83 + 83 = 0 0 + -16x = -3 + 83 -16x = -3 + 83 Combine like terms: -3 + 83 = 80 -16x = 80 Divide each side by '-16'. x = -5 Simplifying x = -5
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