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Simplifying 14x + -3(2x + -5) + 2(5x + -3) = 6 + -5(2x + -9) Reorder the terms: 14x + -3(-5 + 2x) + 2(5x + -3) = 6 + -5(2x + -9) 14x + (-5 * -3 + 2x * -3) + 2(5x + -3) = 6 + -5(2x + -9) 14x + (15 + -6x) + 2(5x + -3) = 6 + -5(2x + -9) Reorder the terms: 14x + 15 + -6x + 2(-3 + 5x) = 6 + -5(2x + -9) 14x + 15 + -6x + (-3 * 2 + 5x * 2) = 6 + -5(2x + -9) 14x + 15 + -6x + (-6 + 10x) = 6 + -5(2x + -9) Reorder the terms: 15 + -6 + 14x + -6x + 10x = 6 + -5(2x + -9) Combine like terms: 15 + -6 = 9 9 + 14x + -6x + 10x = 6 + -5(2x + -9) Combine like terms: 14x + -6x = 8x 9 + 8x + 10x = 6 + -5(2x + -9) Combine like terms: 8x + 10x = 18x 9 + 18x = 6 + -5(2x + -9) Reorder the terms: 9 + 18x = 6 + -5(-9 + 2x) 9 + 18x = 6 + (-9 * -5 + 2x * -5) 9 + 18x = 6 + (45 + -10x) Combine like terms: 6 + 45 = 51 9 + 18x = 51 + -10x Solving 9 + 18x = 51 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 9 + 18x + 10x = 51 + -10x + 10x Combine like terms: 18x + 10x = 28x 9 + 28x = 51 + -10x + 10x Combine like terms: -10x + 10x = 0 9 + 28x = 51 + 0 9 + 28x = 51 Add '-9' to each side of the equation. 9 + -9 + 28x = 51 + -9 Combine like terms: 9 + -9 = 0 0 + 28x = 51 + -9 28x = 51 + -9 Combine like terms: 51 + -9 = 42 28x = 42 Divide each side by '28'. x = 1.5 Simplifying x = 1.5
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