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Simplifying 5(2x + 3) + 6(3x + -4) = 36 Reorder the terms: 5(3 + 2x) + 6(3x + -4) = 36 (3 * 5 + 2x * 5) + 6(3x + -4) = 36 (15 + 10x) + 6(3x + -4) = 36 Reorder the terms: 15 + 10x + 6(-4 + 3x) = 36 15 + 10x + (-4 * 6 + 3x * 6) = 36 15 + 10x + (-24 + 18x) = 36 Reorder the terms: 15 + -24 + 10x + 18x = 36 Combine like terms: 15 + -24 = -9 -9 + 10x + 18x = 36 Combine like terms: 10x + 18x = 28x -9 + 28x = 36 Solving -9 + 28x = 36 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 28x = 36 + 9 Combine like terms: -9 + 9 = 0 0 + 28x = 36 + 9 28x = 36 + 9 Combine like terms: 36 + 9 = 45 28x = 45 Divide each side by '28'. x = 1.607142857 Simplifying x = 1.607142857
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