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Simplifying -2(x + 1) + -6 = (6x + -2) + 3 Reorder the terms: -2(1 + x) + -6 = (6x + -2) + 3 (1 * -2 + x * -2) + -6 = (6x + -2) + 3 (-2 + -2x) + -6 = (6x + -2) + 3 Reorder the terms: -2 + -6 + -2x = (6x + -2) + 3 Combine like terms: -2 + -6 = -8 -8 + -2x = (6x + -2) + 3 Reorder the terms: -8 + -2x = (-2 + 6x) + 3 Remove parenthesis around (-2 + 6x) -8 + -2x = -2 + 6x + 3 Reorder the terms: -8 + -2x = -2 + 3 + 6x Combine like terms: -2 + 3 = 1 -8 + -2x = 1 + 6x Solving -8 + -2x = 1 + 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. -8 + -2x + -6x = 1 + 6x + -6x Combine like terms: -2x + -6x = -8x -8 + -8x = 1 + 6x + -6x Combine like terms: 6x + -6x = 0 -8 + -8x = 1 + 0 -8 + -8x = 1 Add '8' to each side of the equation. -8 + 8 + -8x = 1 + 8 Combine like terms: -8 + 8 = 0 0 + -8x = 1 + 8 -8x = 1 + 8 Combine like terms: 1 + 8 = 9 -8x = 9 Divide each side by '-8'. x = -1.125 Simplifying x = -1.125
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