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Simplifying -6(x + 3) + 2x + 6 = 8x + 7 Reorder the terms: -6(3 + x) + 2x + 6 = 8x + 7 (3 * -6 + x * -6) + 2x + 6 = 8x + 7 (-18 + -6x) + 2x + 6 = 8x + 7 Reorder the terms: -18 + 6 + -6x + 2x = 8x + 7 Combine like terms: -18 + 6 = -12 -12 + -6x + 2x = 8x + 7 Combine like terms: -6x + 2x = -4x -12 + -4x = 8x + 7 Reorder the terms: -12 + -4x = 7 + 8x Solving -12 + -4x = 7 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -12 + -4x + -8x = 7 + 8x + -8x Combine like terms: -4x + -8x = -12x -12 + -12x = 7 + 8x + -8x Combine like terms: 8x + -8x = 0 -12 + -12x = 7 + 0 -12 + -12x = 7 Add '12' to each side of the equation. -12 + 12 + -12x = 7 + 12 Combine like terms: -12 + 12 = 0 0 + -12x = 7 + 12 -12x = 7 + 12 Combine like terms: 7 + 12 = 19 -12x = 19 Divide each side by '-12'. x = -1.583333333 Simplifying x = -1.583333333
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