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Simplifying 6(2x + 5) + -3x = 14x + 10 Reorder the terms: 6(5 + 2x) + -3x = 14x + 10 (5 * 6 + 2x * 6) + -3x = 14x + 10 (30 + 12x) + -3x = 14x + 10 Combine like terms: 12x + -3x = 9x 30 + 9x = 14x + 10 Reorder the terms: 30 + 9x = 10 + 14x Solving 30 + 9x = 10 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 30 + 9x + -14x = 10 + 14x + -14x Combine like terms: 9x + -14x = -5x 30 + -5x = 10 + 14x + -14x Combine like terms: 14x + -14x = 0 30 + -5x = 10 + 0 30 + -5x = 10 Add '-30' to each side of the equation. 30 + -30 + -5x = 10 + -30 Combine like terms: 30 + -30 = 0 0 + -5x = 10 + -30 -5x = 10 + -30 Combine like terms: 10 + -30 = -20 -5x = -20 Divide each side by '-5'. x = 4 Simplifying x = 4
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