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Simplifying 3x + -14 = x + -2(x + -5) Reorder the terms: -14 + 3x = x + -2(x + -5) Reorder the terms: -14 + 3x = x + -2(-5 + x) -14 + 3x = x + (-5 * -2 + x * -2) -14 + 3x = x + (10 + -2x) Reorder the terms: -14 + 3x = 10 + x + -2x Combine like terms: x + -2x = -1x -14 + 3x = 10 + -1x Solving -14 + 3x = 10 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -14 + 3x + x = 10 + -1x + x Combine like terms: 3x + x = 4x -14 + 4x = 10 + -1x + x Combine like terms: -1x + x = 0 -14 + 4x = 10 + 0 -14 + 4x = 10 Add '14' to each side of the equation. -14 + 14 + 4x = 10 + 14 Combine like terms: -14 + 14 = 0 0 + 4x = 10 + 14 4x = 10 + 14 Combine like terms: 10 + 14 = 24 4x = 24 Divide each side by '4'. x = 6 Simplifying x = 6
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