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Simplifying 3x + -2(2 + 5) = 2(x + 3) + -8 Combine like terms: 2 + 5 = 7 3x + -2(7) = 2(x + 3) + -8 Multiply -2 * 7 3x + -14 = 2(x + 3) + -8 Reorder the terms: -14 + 3x = 2(x + 3) + -8 Reorder the terms: -14 + 3x = 2(3 + x) + -8 -14 + 3x = (3 * 2 + x * 2) + -8 -14 + 3x = (6 + 2x) + -8 Reorder the terms: -14 + 3x = 6 + -8 + 2x Combine like terms: 6 + -8 = -2 -14 + 3x = -2 + 2x Solving -14 + 3x = -2 + 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 + 3x + -2x = -2 + 2x + -2x Combine like terms: 3x + -2x = 1x -14 + 1x = -2 + 2x + -2x Combine like terms: 2x + -2x = 0 -14 + 1x = -2 + 0 -14 + 1x = -2 Add '14' to each side of the equation. -14 + 14 + 1x = -2 + 14 Combine like terms: -14 + 14 = 0 0 + 1x = -2 + 14 1x = -2 + 14 Combine like terms: -2 + 14 = 12 1x = 12 Divide each side by '1'. x = 12 Simplifying x = 12
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