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Simplifying 2(5x + -4) + -1(-8x + 3) = 61 Reorder the terms: 2(-4 + 5x) + -1(-8x + 3) = 61 (-4 * 2 + 5x * 2) + -1(-8x + 3) = 61 (-8 + 10x) + -1(-8x + 3) = 61 Reorder the terms: -8 + 10x + -1(3 + -8x) = 61 -8 + 10x + (3 * -1 + -8x * -1) = 61 -8 + 10x + (-3 + 8x) = 61 Reorder the terms: -8 + -3 + 10x + 8x = 61 Combine like terms: -8 + -3 = -11 -11 + 10x + 8x = 61 Combine like terms: 10x + 8x = 18x -11 + 18x = 61 Solving -11 + 18x = 61 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 18x = 61 + 11 Combine like terms: -11 + 11 = 0 0 + 18x = 61 + 11 18x = 61 + 11 Combine like terms: 61 + 11 = 72 18x = 72 Divide each side by '18'. x = 4 Simplifying x = 4
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