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Simplifying 2x + -6 = 6(x + -2) + 8 Reorder the terms: -6 + 2x = 6(x + -2) + 8 Reorder the terms: -6 + 2x = 6(-2 + x) + 8 -6 + 2x = (-2 * 6 + x * 6) + 8 -6 + 2x = (-12 + 6x) + 8 Reorder the terms: -6 + 2x = -12 + 8 + 6x Combine like terms: -12 + 8 = -4 -6 + 2x = -4 + 6x Solving -6 + 2x = -4 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -6 + 2x + -6x = -4 + 6x + -6x Combine like terms: 2x + -6x = -4x -6 + -4x = -4 + 6x + -6x Combine like terms: 6x + -6x = 0 -6 + -4x = -4 + 0 -6 + -4x = -4 Add '6' to each side of the equation. -6 + 6 + -4x = -4 + 6 Combine like terms: -6 + 6 = 0 0 + -4x = -4 + 6 -4x = -4 + 6 Combine like terms: -4 + 6 = 2 -4x = 2 Divide each side by '-4'. x = -0.5 Simplifying x = -0.5
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