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Simplifying -4(x + 1) = 8x + -2 + 2(3x + 6) Reorder the terms: -4(1 + x) = 8x + -2 + 2(3x + 6) (1 * -4 + x * -4) = 8x + -2 + 2(3x + 6) (-4 + -4x) = 8x + -2 + 2(3x + 6) Reorder the terms: -4 + -4x = 8x + -2 + 2(6 + 3x) -4 + -4x = 8x + -2 + (6 * 2 + 3x * 2) -4 + -4x = 8x + -2 + (12 + 6x) Reorder the terms: -4 + -4x = -2 + 12 + 8x + 6x Combine like terms: -2 + 12 = 10 -4 + -4x = 10 + 8x + 6x Combine like terms: 8x + 6x = 14x -4 + -4x = 10 + 14x Solving -4 + -4x = 10 + 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. -4 + -4x + -14x = 10 + 14x + -14x Combine like terms: -4x + -14x = -18x -4 + -18x = 10 + 14x + -14x Combine like terms: 14x + -14x = 0 -4 + -18x = 10 + 0 -4 + -18x = 10 Add '4' to each side of the equation. -4 + 4 + -18x = 10 + 4 Combine like terms: -4 + 4 = 0 0 + -18x = 10 + 4 -18x = 10 + 4 Combine like terms: 10 + 4 = 14 -18x = 14 Divide each side by '-18'. x = -0.7777777778 Simplifying x = -0.7777777778
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