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Simplifying 4x + 2(3x + -2) = x + 14 Reorder the terms: 4x + 2(-2 + 3x) = x + 14 4x + (-2 * 2 + 3x * 2) = x + 14 4x + (-4 + 6x) = x + 14 Reorder the terms: -4 + 4x + 6x = x + 14 Combine like terms: 4x + 6x = 10x -4 + 10x = x + 14 Reorder the terms: -4 + 10x = 14 + x Solving -4 + 10x = 14 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -4 + 10x + -1x = 14 + x + -1x Combine like terms: 10x + -1x = 9x -4 + 9x = 14 + x + -1x Combine like terms: x + -1x = 0 -4 + 9x = 14 + 0 -4 + 9x = 14 Add '4' to each side of the equation. -4 + 4 + 9x = 14 + 4 Combine like terms: -4 + 4 = 0 0 + 9x = 14 + 4 9x = 14 + 4 Combine like terms: 14 + 4 = 18 9x = 18 Divide each side by '9'. x = 2 Simplifying x = 2
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