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Simplifying 4(2x + -1) + -1x + -5 = 61 Reorder the terms: 4(-1 + 2x) + -1x + -5 = 61 (-1 * 4 + 2x * 4) + -1x + -5 = 61 (-4 + 8x) + -1x + -5 = 61 Reorder the terms: -4 + -5 + 8x + -1x = 61 Combine like terms: -4 + -5 = -9 -9 + 8x + -1x = 61 Combine like terms: 8x + -1x = 7x -9 + 7x = 61 Solving -9 + 7x = 61 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 7x = 61 + 9 Combine like terms: -9 + 9 = 0 0 + 7x = 61 + 9 7x = 61 + 9 Combine like terms: 61 + 9 = 70 7x = 70 Divide each side by '7'. x = 10 Simplifying x = 10
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