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Simplifying 10(3x + 8) = 14 + -3x Reorder the terms: 10(8 + 3x) = 14 + -3x (8 * 10 + 3x * 10) = 14 + -3x (80 + 30x) = 14 + -3x Solving 80 + 30x = 14 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 80 + 30x + 3x = 14 + -3x + 3x Combine like terms: 30x + 3x = 33x 80 + 33x = 14 + -3x + 3x Combine like terms: -3x + 3x = 0 80 + 33x = 14 + 0 80 + 33x = 14 Add '-80' to each side of the equation. 80 + -80 + 33x = 14 + -80 Combine like terms: 80 + -80 = 0 0 + 33x = 14 + -80 33x = 14 + -80 Combine like terms: 14 + -80 = -66 33x = -66 Divide each side by '33'. x = -2 Simplifying x = -2
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