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Simplifying 4(3x + -5) + 5(8x + -6) = 26 Reorder the terms: 4(-5 + 3x) + 5(8x + -6) = 26 (-5 * 4 + 3x * 4) + 5(8x + -6) = 26 (-20 + 12x) + 5(8x + -6) = 26 Reorder the terms: -20 + 12x + 5(-6 + 8x) = 26 -20 + 12x + (-6 * 5 + 8x * 5) = 26 -20 + 12x + (-30 + 40x) = 26 Reorder the terms: -20 + -30 + 12x + 40x = 26 Combine like terms: -20 + -30 = -50 -50 + 12x + 40x = 26 Combine like terms: 12x + 40x = 52x -50 + 52x = 26 Solving -50 + 52x = 26 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '50' to each side of the equation. -50 + 50 + 52x = 26 + 50 Combine like terms: -50 + 50 = 0 0 + 52x = 26 + 50 52x = 26 + 50 Combine like terms: 26 + 50 = 76 52x = 76 Divide each side by '52'. x = 1.461538462 Simplifying x = 1.461538462
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