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Simplifying 2x + 6x + 8 = 4x + -2(x + 6) Reorder the terms: 8 + 2x + 6x = 4x + -2(x + 6) Combine like terms: 2x + 6x = 8x 8 + 8x = 4x + -2(x + 6) Reorder the terms: 8 + 8x = 4x + -2(6 + x) 8 + 8x = 4x + (6 * -2 + x * -2) 8 + 8x = 4x + (-12 + -2x) Reorder the terms: 8 + 8x = -12 + 4x + -2x Combine like terms: 4x + -2x = 2x 8 + 8x = -12 + 2x Solving 8 + 8x = -12 + 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. 8 + 8x + -2x = -12 + 2x + -2x Combine like terms: 8x + -2x = 6x 8 + 6x = -12 + 2x + -2x Combine like terms: 2x + -2x = 0 8 + 6x = -12 + 0 8 + 6x = -12 Add '-8' to each side of the equation. 8 + -8 + 6x = -12 + -8 Combine like terms: 8 + -8 = 0 0 + 6x = -12 + -8 6x = -12 + -8 Combine like terms: -12 + -8 = -20 6x = -20 Divide each side by '6'. x = -3.333333333 Simplifying x = -3.333333333
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