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Simplifying 3(x + -2) + -2(2x + -4) = 28 Reorder the terms: 3(-2 + x) + -2(2x + -4) = 28 (-2 * 3 + x * 3) + -2(2x + -4) = 28 (-6 + 3x) + -2(2x + -4) = 28 Reorder the terms: -6 + 3x + -2(-4 + 2x) = 28 -6 + 3x + (-4 * -2 + 2x * -2) = 28 -6 + 3x + (8 + -4x) = 28 Reorder the terms: -6 + 8 + 3x + -4x = 28 Combine like terms: -6 + 8 = 2 2 + 3x + -4x = 28 Combine like terms: 3x + -4x = -1x 2 + -1x = 28 Solving 2 + -1x = 28 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 28 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 28 + -2 -1x = 28 + -2 Combine like terms: 28 + -2 = 26 -1x = 26 Divide each side by '-1'. x = -26 Simplifying x = -26
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