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Simplifying -1(x + 3) + 7(x + -4) = 17 Reorder the terms: -1(3 + x) + 7(x + -4) = 17 (3 * -1 + x * -1) + 7(x + -4) = 17 (-3 + -1x) + 7(x + -4) = 17 Reorder the terms: -3 + -1x + 7(-4 + x) = 17 -3 + -1x + (-4 * 7 + x * 7) = 17 -3 + -1x + (-28 + 7x) = 17 Reorder the terms: -3 + -28 + -1x + 7x = 17 Combine like terms: -3 + -28 = -31 -31 + -1x + 7x = 17 Combine like terms: -1x + 7x = 6x -31 + 6x = 17 Solving -31 + 6x = 17 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '31' to each side of the equation. -31 + 31 + 6x = 17 + 31 Combine like terms: -31 + 31 = 0 0 + 6x = 17 + 31 6x = 17 + 31 Combine like terms: 17 + 31 = 48 6x = 48 Divide each side by '6'. x = 8 Simplifying x = 8
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