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Simplifying 5(x + -1) + 3(x + -4) = 11 Reorder the terms: 5(-1 + x) + 3(x + -4) = 11 (-1 * 5 + x * 5) + 3(x + -4) = 11 (-5 + 5x) + 3(x + -4) = 11 Reorder the terms: -5 + 5x + 3(-4 + x) = 11 -5 + 5x + (-4 * 3 + x * 3) = 11 -5 + 5x + (-12 + 3x) = 11 Reorder the terms: -5 + -12 + 5x + 3x = 11 Combine like terms: -5 + -12 = -17 -17 + 5x + 3x = 11 Combine like terms: 5x + 3x = 8x -17 + 8x = 11 Solving -17 + 8x = 11 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 8x = 11 + 17 Combine like terms: -17 + 17 = 0 0 + 8x = 11 + 17 8x = 11 + 17 Combine like terms: 11 + 17 = 28 8x = 28 Divide each side by '8'. x = 3.5 Simplifying x = 3.5
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