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Simplifying 6x + 2(1 + x) = 3x + -8 + x + -2 6x + (1 * 2 + x * 2) = 3x + -8 + x + -2 6x + (2 + 2x) = 3x + -8 + x + -2 Reorder the terms: 2 + 6x + 2x = 3x + -8 + x + -2 Combine like terms: 6x + 2x = 8x 2 + 8x = 3x + -8 + x + -2 Reorder the terms: 2 + 8x = -8 + -2 + 3x + x Combine like terms: -8 + -2 = -10 2 + 8x = -10 + 3x + x Combine like terms: 3x + x = 4x 2 + 8x = -10 + 4x Solving 2 + 8x = -10 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 2 + 8x + -4x = -10 + 4x + -4x Combine like terms: 8x + -4x = 4x 2 + 4x = -10 + 4x + -4x Combine like terms: 4x + -4x = 0 2 + 4x = -10 + 0 2 + 4x = -10 Add '-2' to each side of the equation. 2 + -2 + 4x = -10 + -2 Combine like terms: 2 + -2 = 0 0 + 4x = -10 + -2 4x = -10 + -2 Combine like terms: -10 + -2 = -12 4x = -12 Divide each side by '4'. x = -3 Simplifying x = -3
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