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Simplifying 6(x + 2) = 2(x + -7) + 2 Reorder the terms: 6(2 + x) = 2(x + -7) + 2 (2 * 6 + x * 6) = 2(x + -7) + 2 (12 + 6x) = 2(x + -7) + 2 Reorder the terms: 12 + 6x = 2(-7 + x) + 2 12 + 6x = (-7 * 2 + x * 2) + 2 12 + 6x = (-14 + 2x) + 2 Reorder the terms: 12 + 6x = -14 + 2 + 2x Combine like terms: -14 + 2 = -12 12 + 6x = -12 + 2x Solving 12 + 6x = -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. 12 + 6x + -2x = -12 + 2x + -2x Combine like terms: 6x + -2x = 4x 12 + 4x = -12 + 2x + -2x Combine like terms: 2x + -2x = 0 12 + 4x = -12 + 0 12 + 4x = -12 Add '-12' to each side of the equation. 12 + -12 + 4x = -12 + -12 Combine like terms: 12 + -12 = 0 0 + 4x = -12 + -12 4x = -12 + -12 Combine like terms: -12 + -12 = -24 4x = -24 Divide each side by '4'. x = -6 Simplifying x = -6
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