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Simplifying 5(2x + 6) + -4(6x + 1) = 43 Reorder the terms: 5(6 + 2x) + -4(6x + 1) = 43 (6 * 5 + 2x * 5) + -4(6x + 1) = 43 (30 + 10x) + -4(6x + 1) = 43 Reorder the terms: 30 + 10x + -4(1 + 6x) = 43 30 + 10x + (1 * -4 + 6x * -4) = 43 30 + 10x + (-4 + -24x) = 43 Reorder the terms: 30 + -4 + 10x + -24x = 43 Combine like terms: 30 + -4 = 26 26 + 10x + -24x = 43 Combine like terms: 10x + -24x = -14x 26 + -14x = 43 Solving 26 + -14x = 43 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + -14x = 43 + -26 Combine like terms: 26 + -26 = 0 0 + -14x = 43 + -26 -14x = 43 + -26 Combine like terms: 43 + -26 = 17 -14x = 17 Divide each side by '-14'. x = -1.214285714 Simplifying x = -1.214285714
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