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Simplifying 10(x + 3) + -14x = 5(x + 5) Reorder the terms: 10(3 + x) + -14x = 5(x + 5) (3 * 10 + x * 10) + -14x = 5(x + 5) (30 + 10x) + -14x = 5(x + 5) Combine like terms: 10x + -14x = -4x 30 + -4x = 5(x + 5) Reorder the terms: 30 + -4x = 5(5 + x) 30 + -4x = (5 * 5 + x * 5) 30 + -4x = (25 + 5x) Solving 30 + -4x = 25 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 30 + -4x + -5x = 25 + 5x + -5x Combine like terms: -4x + -5x = -9x 30 + -9x = 25 + 5x + -5x Combine like terms: 5x + -5x = 0 30 + -9x = 25 + 0 30 + -9x = 25 Add '-30' to each side of the equation. 30 + -30 + -9x = 25 + -30 Combine like terms: 30 + -30 = 0 0 + -9x = 25 + -30 -9x = 25 + -30 Combine like terms: 25 + -30 = -5 -9x = -5 Divide each side by '-9'. x = 0.5555555556 Simplifying x = 0.5555555556
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