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Simplifying 5(8x + -6) + -3(-5x + 4) = 0 Reorder the terms: 5(-6 + 8x) + -3(-5x + 4) = 0 (-6 * 5 + 8x * 5) + -3(-5x + 4) = 0 (-30 + 40x) + -3(-5x + 4) = 0 Reorder the terms: -30 + 40x + -3(4 + -5x) = 0 -30 + 40x + (4 * -3 + -5x * -3) = 0 -30 + 40x + (-12 + 15x) = 0 Reorder the terms: -30 + -12 + 40x + 15x = 0 Combine like terms: -30 + -12 = -42 -42 + 40x + 15x = 0 Combine like terms: 40x + 15x = 55x -42 + 55x = 0 Solving -42 + 55x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + 55x = 0 + 42 Combine like terms: -42 + 42 = 0 0 + 55x = 0 + 42 55x = 0 + 42 Combine like terms: 0 + 42 = 42 55x = 42 Divide each side by '55'. x = 0.7636363636 Simplifying x = 0.7636363636
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