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