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Simplifying -6(x + -12) + 6(x + 2) = x + -21 Reorder the terms: -6(-12 + x) + 6(x + 2) = x + -21 (-12 * -6 + x * -6) + 6(x + 2) = x + -21 (72 + -6x) + 6(x + 2) = x + -21 Reorder the terms: 72 + -6x + 6(2 + x) = x + -21 72 + -6x + (2 * 6 + x * 6) = x + -21 72 + -6x + (12 + 6x) = x + -21 Reorder the terms: 72 + 12 + -6x + 6x = x + -21 Combine like terms: 72 + 12 = 84 84 + -6x + 6x = x + -21 Combine like terms: -6x + 6x = 0 84 + 0 = x + -21 84 = x + -21 Reorder the terms: 84 = -21 + x Solving 84 = -21 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 84 + -1x = -21 + x + -1x Combine like terms: x + -1x = 0 84 + -1x = -21 + 0 84 + -1x = -21 Add '-84' to each side of the equation. 84 + -84 + -1x = -21 + -84 Combine like terms: 84 + -84 = 0 0 + -1x = -21 + -84 -1x = -21 + -84 Combine like terms: -21 + -84 = -105 -1x = -105 Divide each side by '-1'. x = 105 Simplifying x = 105
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