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Simplifying 6x + -2 = 6x + 2(x + -6) Reorder the terms: -2 + 6x = 6x + 2(x + -6) Reorder the terms: -2 + 6x = 6x + 2(-6 + x) -2 + 6x = 6x + (-6 * 2 + x * 2) -2 + 6x = 6x + (-12 + 2x) Reorder the terms: -2 + 6x = -12 + 6x + 2x Combine like terms: 6x + 2x = 8x -2 + 6x = -12 + 8x Solving -2 + 6x = -12 + 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. -2 + 6x + -8x = -12 + 8x + -8x Combine like terms: 6x + -8x = -2x -2 + -2x = -12 + 8x + -8x Combine like terms: 8x + -8x = 0 -2 + -2x = -12 + 0 -2 + -2x = -12 Add '2' to each side of the equation. -2 + 2 + -2x = -12 + 2 Combine like terms: -2 + 2 = 0 0 + -2x = -12 + 2 -2x = -12 + 2 Combine like terms: -12 + 2 = -10 -2x = -10 Divide each side by '-2'. x = 5 Simplifying x = 5
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