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Simplifying 5(2x + -1) = 3(x + -4) + -5 Reorder the terms: 5(-1 + 2x) = 3(x + -4) + -5 (-1 * 5 + 2x * 5) = 3(x + -4) + -5 (-5 + 10x) = 3(x + -4) + -5 Reorder the terms: -5 + 10x = 3(-4 + x) + -5 -5 + 10x = (-4 * 3 + x * 3) + -5 -5 + 10x = (-12 + 3x) + -5 Reorder the terms: -5 + 10x = -12 + -5 + 3x Combine like terms: -12 + -5 = -17 -5 + 10x = -17 + 3x Solving -5 + 10x = -17 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -5 + 10x + -3x = -17 + 3x + -3x Combine like terms: 10x + -3x = 7x -5 + 7x = -17 + 3x + -3x Combine like terms: 3x + -3x = 0 -5 + 7x = -17 + 0 -5 + 7x = -17 Add '5' to each side of the equation. -5 + 5 + 7x = -17 + 5 Combine like terms: -5 + 5 = 0 0 + 7x = -17 + 5 7x = -17 + 5 Combine like terms: -17 + 5 = -12 7x = -12 Divide each side by '7'. x = -1.714285714 Simplifying x = -1.714285714
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