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Simplifying 2(x + 4) + -3(x + -2) = 28 Reorder the terms: 2(4 + x) + -3(x + -2) = 28 (4 * 2 + x * 2) + -3(x + -2) = 28 (8 + 2x) + -3(x + -2) = 28 Reorder the terms: 8 + 2x + -3(-2 + x) = 28 8 + 2x + (-2 * -3 + x * -3) = 28 8 + 2x + (6 + -3x) = 28 Reorder the terms: 8 + 6 + 2x + -3x = 28 Combine like terms: 8 + 6 = 14 14 + 2x + -3x = 28 Combine like terms: 2x + -3x = -1x 14 + -1x = 28 Solving 14 + -1x = 28 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -1x = 28 + -14 Combine like terms: 14 + -14 = 0 0 + -1x = 28 + -14 -1x = 28 + -14 Combine like terms: 28 + -14 = 14 -1x = 14 Divide each side by '-1'. x = -14 Simplifying x = -14
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