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Simplifying 2(x + 2) = 6(x + -3) + -6 Reorder the terms: 2(2 + x) = 6(x + -3) + -6 (2 * 2 + x * 2) = 6(x + -3) + -6 (4 + 2x) = 6(x + -3) + -6 Reorder the terms: 4 + 2x = 6(-3 + x) + -6 4 + 2x = (-3 * 6 + x * 6) + -6 4 + 2x = (-18 + 6x) + -6 Reorder the terms: 4 + 2x = -18 + -6 + 6x Combine like terms: -18 + -6 = -24 4 + 2x = -24 + 6x Solving 4 + 2x = -24 + 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. 4 + 2x + -6x = -24 + 6x + -6x Combine like terms: 2x + -6x = -4x 4 + -4x = -24 + 6x + -6x Combine like terms: 6x + -6x = 0 4 + -4x = -24 + 0 4 + -4x = -24 Add '-4' to each side of the equation. 4 + -4 + -4x = -24 + -4 Combine like terms: 4 + -4 = 0 0 + -4x = -24 + -4 -4x = -24 + -4 Combine like terms: -24 + -4 = -28 -4x = -28 Divide each side by '-4'. x = 7 Simplifying x = 7
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