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Simplifying 3x + -2(5x + 3) = 3x + 14 + -5x Reorder the terms: 3x + -2(3 + 5x) = 3x + 14 + -5x 3x + (3 * -2 + 5x * -2) = 3x + 14 + -5x 3x + (-6 + -10x) = 3x + 14 + -5x Reorder the terms: -6 + 3x + -10x = 3x + 14 + -5x Combine like terms: 3x + -10x = -7x -6 + -7x = 3x + 14 + -5x Reorder the terms: -6 + -7x = 14 + 3x + -5x Combine like terms: 3x + -5x = -2x -6 + -7x = 14 + -2x Solving -6 + -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. -6 + -7x + 2x = 14 + -2x + 2x Combine like terms: -7x + 2x = -5x -6 + -5x = 14 + -2x + 2x Combine like terms: -2x + 2x = 0 -6 + -5x = 14 + 0 -6 + -5x = 14 Add '6' to each side of the equation. -6 + 6 + -5x = 14 + 6 Combine like terms: -6 + 6 = 0 0 + -5x = 14 + 6 -5x = 14 + 6 Combine like terms: 14 + 6 = 20 -5x = 20 Divide each side by '-5'. x = -4 Simplifying x = -4
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