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Simplifying 5(x + -1) + 3(x + -7) = 4 Reorder the terms: 5(-1 + x) + 3(x + -7) = 4 (-1 * 5 + x * 5) + 3(x + -7) = 4 (-5 + 5x) + 3(x + -7) = 4 Reorder the terms: -5 + 5x + 3(-7 + x) = 4 -5 + 5x + (-7 * 3 + x * 3) = 4 -5 + 5x + (-21 + 3x) = 4 Reorder the terms: -5 + -21 + 5x + 3x = 4 Combine like terms: -5 + -21 = -26 -26 + 5x + 3x = 4 Combine like terms: 5x + 3x = 8x -26 + 8x = 4 Solving -26 + 8x = 4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '26' to each side of the equation. -26 + 26 + 8x = 4 + 26 Combine like terms: -26 + 26 = 0 0 + 8x = 4 + 26 8x = 4 + 26 Combine like terms: 4 + 26 = 30 8x = 30 Divide each side by '8'. x = 3.75 Simplifying x = 3.75
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