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Simplifying 3(x + -4) + 14 = 2(x + 5) Reorder the terms: 3(-4 + x) + 14 = 2(x + 5) (-4 * 3 + x * 3) + 14 = 2(x + 5) (-12 + 3x) + 14 = 2(x + 5) Reorder the terms: -12 + 14 + 3x = 2(x + 5) Combine like terms: -12 + 14 = 2 2 + 3x = 2(x + 5) Reorder the terms: 2 + 3x = 2(5 + x) 2 + 3x = (5 * 2 + x * 2) 2 + 3x = (10 + 2x) Solving 2 + 3x = 10 + 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. 2 + 3x + -2x = 10 + 2x + -2x Combine like terms: 3x + -2x = 1x 2 + 1x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 2 + 1x = 10 + 0 2 + 1x = 10 Add '-2' to each side of the equation. 2 + -2 + 1x = 10 + -2 Combine like terms: 2 + -2 = 0 0 + 1x = 10 + -2 1x = 10 + -2 Combine like terms: 10 + -2 = 8 1x = 8 Divide each side by '1'. x = 8 Simplifying x = 8
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