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Simplifying 3x + 2(5x + -8) = 14 + -2x Reorder the terms: 3x + 2(-8 + 5x) = 14 + -2x 3x + (-8 * 2 + 5x * 2) = 14 + -2x 3x + (-16 + 10x) = 14 + -2x Reorder the terms: -16 + 3x + 10x = 14 + -2x Combine like terms: 3x + 10x = 13x -16 + 13x = 14 + -2x Solving -16 + 13x = 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. -16 + 13x + 2x = 14 + -2x + 2x Combine like terms: 13x + 2x = 15x -16 + 15x = 14 + -2x + 2x Combine like terms: -2x + 2x = 0 -16 + 15x = 14 + 0 -16 + 15x = 14 Add '16' to each side of the equation. -16 + 16 + 15x = 14 + 16 Combine like terms: -16 + 16 = 0 0 + 15x = 14 + 16 15x = 14 + 16 Combine like terms: 14 + 16 = 30 15x = 30 Divide each side by '15'. x = 2 Simplifying x = 2
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