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Simplifying 6(x + 2) = -2x + 1 Reorder the terms: 6(2 + x) = -2x + 1 (2 * 6 + x * 6) = -2x + 1 (12 + 6x) = -2x + 1 Reorder the terms: 12 + 6x = 1 + -2x Solving 12 + 6x = 1 + -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. 12 + 6x + 2x = 1 + -2x + 2x Combine like terms: 6x + 2x = 8x 12 + 8x = 1 + -2x + 2x Combine like terms: -2x + 2x = 0 12 + 8x = 1 + 0 12 + 8x = 1 Add '-12' to each side of the equation. 12 + -12 + 8x = 1 + -12 Combine like terms: 12 + -12 = 0 0 + 8x = 1 + -12 8x = 1 + -12 Combine like terms: 1 + -12 = -11 8x = -11 Divide each side by '8'. x = -1.375 Simplifying x = -1.375
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