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Simplifying -2(x + 6) = 2x + -1 + 3(4x + 1) Reorder the terms: -2(6 + x) = 2x + -1 + 3(4x + 1) (6 * -2 + x * -2) = 2x + -1 + 3(4x + 1) (-12 + -2x) = 2x + -1 + 3(4x + 1) Reorder the terms: -12 + -2x = 2x + -1 + 3(1 + 4x) -12 + -2x = 2x + -1 + (1 * 3 + 4x * 3) -12 + -2x = 2x + -1 + (3 + 12x) Reorder the terms: -12 + -2x = -1 + 3 + 2x + 12x Combine like terms: -1 + 3 = 2 -12 + -2x = 2 + 2x + 12x Combine like terms: 2x + 12x = 14x -12 + -2x = 2 + 14x Solving -12 + -2x = 2 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -12 + -2x + -14x = 2 + 14x + -14x Combine like terms: -2x + -14x = -16x -12 + -16x = 2 + 14x + -14x Combine like terms: 14x + -14x = 0 -12 + -16x = 2 + 0 -12 + -16x = 2 Add '12' to each side of the equation. -12 + 12 + -16x = 2 + 12 Combine like terms: -12 + 12 = 0 0 + -16x = 2 + 12 -16x = 2 + 12 Combine like terms: 2 + 12 = 14 -16x = 14 Divide each side by '-16'. x = -0.875 Simplifying x = -0.875
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