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Simplifying 3(x + -2) + -2(x + 7) = 2x + 7 Reorder the terms: 3(-2 + x) + -2(x + 7) = 2x + 7 (-2 * 3 + x * 3) + -2(x + 7) = 2x + 7 (-6 + 3x) + -2(x + 7) = 2x + 7 Reorder the terms: -6 + 3x + -2(7 + x) = 2x + 7 -6 + 3x + (7 * -2 + x * -2) = 2x + 7 -6 + 3x + (-14 + -2x) = 2x + 7 Reorder the terms: -6 + -14 + 3x + -2x = 2x + 7 Combine like terms: -6 + -14 = -20 -20 + 3x + -2x = 2x + 7 Combine like terms: 3x + -2x = 1x -20 + 1x = 2x + 7 Reorder the terms: -20 + 1x = 7 + 2x Solving -20 + 1x = 7 + 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. -20 + 1x + -2x = 7 + 2x + -2x Combine like terms: 1x + -2x = -1x -20 + -1x = 7 + 2x + -2x Combine like terms: 2x + -2x = 0 -20 + -1x = 7 + 0 -20 + -1x = 7 Add '20' to each side of the equation. -20 + 20 + -1x = 7 + 20 Combine like terms: -20 + 20 = 0 0 + -1x = 7 + 20 -1x = 7 + 20 Combine like terms: 7 + 20 = 27 -1x = 27 Divide each side by '-1'. x = -27 Simplifying x = -27
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