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Simplifying 3x + -2(5x + 2) = 14 + -2x Reorder the terms: 3x + -2(2 + 5x) = 14 + -2x 3x + (2 * -2 + 5x * -2) = 14 + -2x 3x + (-4 + -10x) = 14 + -2x Reorder the terms: -4 + 3x + -10x = 14 + -2x Combine like terms: 3x + -10x = -7x -4 + -7x = 14 + -2x Solving -4 + -7x = 14 + -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. -4 + -7x + 2x = 14 + -2x + 2x Combine like terms: -7x + 2x = -5x -4 + -5x = 14 + -2x + 2x Combine like terms: -2x + 2x = 0 -4 + -5x = 14 + 0 -4 + -5x = 14 Add '4' to each side of the equation. -4 + 4 + -5x = 14 + 4 Combine like terms: -4 + 4 = 0 0 + -5x = 14 + 4 -5x = 14 + 4 Combine like terms: 14 + 4 = 18 -5x = 18 Divide each side by '-5'. x = -3.6 Simplifying x = -3.6
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