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Simplifying 3x + -2(x + 7) = 2x + 14 Reorder the terms: 3x + -2(7 + x) = 2x + 14 3x + (7 * -2 + x * -2) = 2x + 14 3x + (-14 + -2x) = 2x + 14 Reorder the terms: -14 + 3x + -2x = 2x + 14 Combine like terms: 3x + -2x = 1x -14 + 1x = 2x + 14 Reorder the terms: -14 + 1x = 14 + 2x Solving -14 + 1x = 14 + 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. -14 + 1x + -2x = 14 + 2x + -2x Combine like terms: 1x + -2x = -1x -14 + -1x = 14 + 2x + -2x Combine like terms: 2x + -2x = 0 -14 + -1x = 14 + 0 -14 + -1x = 14 Add '14' to each side of the equation. -14 + 14 + -1x = 14 + 14 Combine like terms: -14 + 14 = 0 0 + -1x = 14 + 14 -1x = 14 + 14 Combine like terms: 14 + 14 = 28 -1x = 28 Divide each side by '-1'. x = -28 Simplifying x = -28
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