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Simplifying 4(2x + -1) + -1(x + -5) = 15 Reorder the terms: 4(-1 + 2x) + -1(x + -5) = 15 (-1 * 4 + 2x * 4) + -1(x + -5) = 15 (-4 + 8x) + -1(x + -5) = 15 Reorder the terms: -4 + 8x + -1(-5 + x) = 15 -4 + 8x + (-5 * -1 + x * -1) = 15 -4 + 8x + (5 + -1x) = 15 Reorder the terms: -4 + 5 + 8x + -1x = 15 Combine like terms: -4 + 5 = 1 1 + 8x + -1x = 15 Combine like terms: 8x + -1x = 7x 1 + 7x = 15 Solving 1 + 7x = 15 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 7x = 15 + -1 Combine like terms: 1 + -1 = 0 0 + 7x = 15 + -1 7x = 15 + -1 Combine like terms: 15 + -1 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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