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Simplifying 4x + 2(x + -6) = 8x + 2 Reorder the terms: 4x + 2(-6 + x) = 8x + 2 4x + (-6 * 2 + x * 2) = 8x + 2 4x + (-12 + 2x) = 8x + 2 Reorder the terms: -12 + 4x + 2x = 8x + 2 Combine like terms: 4x + 2x = 6x -12 + 6x = 8x + 2 Reorder the terms: -12 + 6x = 2 + 8x Solving -12 + 6x = 2 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -12 + 6x + -8x = 2 + 8x + -8x Combine like terms: 6x + -8x = -2x -12 + -2x = 2 + 8x + -8x Combine like terms: 8x + -8x = 0 -12 + -2x = 2 + 0 -12 + -2x = 2 Add '12' to each side of the equation. -12 + 12 + -2x = 2 + 12 Combine like terms: -12 + 12 = 0 0 + -2x = 2 + 12 -2x = 2 + 12 Combine like terms: 2 + 12 = 14 -2x = 14 Divide each side by '-2'. x = -7 Simplifying x = -7
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