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Simplifying 3(4x + -5) + (5x + -3) = 0 Reorder the terms: 3(-5 + 4x) + (5x + -3) = 0 (-5 * 3 + 4x * 3) + (5x + -3) = 0 (-15 + 12x) + (5x + -3) = 0 Reorder the terms: -15 + 12x + (-3 + 5x) = 0 Remove parenthesis around (-3 + 5x) -15 + 12x + -3 + 5x = 0 Reorder the terms: -15 + -3 + 12x + 5x = 0 Combine like terms: -15 + -3 = -18 -18 + 12x + 5x = 0 Combine like terms: 12x + 5x = 17x -18 + 17x = 0 Solving -18 + 17x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 17x = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 17x = 0 + 18 17x = 0 + 18 Combine like terms: 0 + 18 = 18 17x = 18 Divide each side by '17'. x = 1.058823529 Simplifying x = 1.058823529
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