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Simplifying -6(x + 1) + 8 = 2(x + -3) Reorder the terms: -6(1 + x) + 8 = 2(x + -3) (1 * -6 + x * -6) + 8 = 2(x + -3) (-6 + -6x) + 8 = 2(x + -3) Reorder the terms: -6 + 8 + -6x = 2(x + -3) Combine like terms: -6 + 8 = 2 2 + -6x = 2(x + -3) Reorder the terms: 2 + -6x = 2(-3 + x) 2 + -6x = (-3 * 2 + x * 2) 2 + -6x = (-6 + 2x) Solving 2 + -6x = -6 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 2 + -6x + -2x = -6 + 2x + -2x Combine like terms: -6x + -2x = -8x 2 + -8x = -6 + 2x + -2x Combine like terms: 2x + -2x = 0 2 + -8x = -6 + 0 2 + -8x = -6 Add '-2' to each side of the equation. 2 + -2 + -8x = -6 + -2 Combine like terms: 2 + -2 = 0 0 + -8x = -6 + -2 -8x = -6 + -2 Combine like terms: -6 + -2 = -8 -8x = -8 Divide each side by '-8'. x = 1 Simplifying x = 1
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