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Simplifying 4(5x + -1) + -2(6x + -3) = 10 Reorder the terms: 4(-1 + 5x) + -2(6x + -3) = 10 (-1 * 4 + 5x * 4) + -2(6x + -3) = 10 (-4 + 20x) + -2(6x + -3) = 10 Reorder the terms: -4 + 20x + -2(-3 + 6x) = 10 -4 + 20x + (-3 * -2 + 6x * -2) = 10 -4 + 20x + (6 + -12x) = 10 Reorder the terms: -4 + 6 + 20x + -12x = 10 Combine like terms: -4 + 6 = 2 2 + 20x + -12x = 10 Combine like terms: 20x + -12x = 8x 2 + 8x = 10 Solving 2 + 8x = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 8x = 10 + -2 Combine like terms: 2 + -2 = 0 0 + 8x = 10 + -2 8x = 10 + -2 Combine like terms: 10 + -2 = 8 8x = 8 Divide each side by '8'. x = 1 Simplifying x = 1
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