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Simplifying 2(x + 2) + -6x = 6x + 8 + -2x Reorder the terms: 2(2 + x) + -6x = 6x + 8 + -2x (2 * 2 + x * 2) + -6x = 6x + 8 + -2x (4 + 2x) + -6x = 6x + 8 + -2x Combine like terms: 2x + -6x = -4x 4 + -4x = 6x + 8 + -2x Reorder the terms: 4 + -4x = 8 + 6x + -2x Combine like terms: 6x + -2x = 4x 4 + -4x = 8 + 4x Solving 4 + -4x = 8 + 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. 4 + -4x + -4x = 8 + 4x + -4x Combine like terms: -4x + -4x = -8x 4 + -8x = 8 + 4x + -4x Combine like terms: 4x + -4x = 0 4 + -8x = 8 + 0 4 + -8x = 8 Add '-4' to each side of the equation. 4 + -4 + -8x = 8 + -4 Combine like terms: 4 + -4 = 0 0 + -8x = 8 + -4 -8x = 8 + -4 Combine like terms: 8 + -4 = 4 -8x = 4 Divide each side by '-8'. x = -0.5 Simplifying x = -0.5
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