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Simplifying 6(3x + -4) + -5(2x + 3) = 17 Reorder the terms: 6(-4 + 3x) + -5(2x + 3) = 17 (-4 * 6 + 3x * 6) + -5(2x + 3) = 17 (-24 + 18x) + -5(2x + 3) = 17 Reorder the terms: -24 + 18x + -5(3 + 2x) = 17 -24 + 18x + (3 * -5 + 2x * -5) = 17 -24 + 18x + (-15 + -10x) = 17 Reorder the terms: -24 + -15 + 18x + -10x = 17 Combine like terms: -24 + -15 = -39 -39 + 18x + -10x = 17 Combine like terms: 18x + -10x = 8x -39 + 8x = 17 Solving -39 + 8x = 17 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '39' to each side of the equation. -39 + 39 + 8x = 17 + 39 Combine like terms: -39 + 39 = 0 0 + 8x = 17 + 39 8x = 17 + 39 Combine like terms: 17 + 39 = 56 8x = 56 Divide each side by '8'. x = 7 Simplifying x = 7
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