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Simplifying 7(x + -4) = -2x + 17 Reorder the terms: 7(-4 + x) = -2x + 17 (-4 * 7 + x * 7) = -2x + 17 (-28 + 7x) = -2x + 17 Reorder the terms: -28 + 7x = 17 + -2x Solving -28 + 7x = 17 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -28 + 7x + 2x = 17 + -2x + 2x Combine like terms: 7x + 2x = 9x -28 + 9x = 17 + -2x + 2x Combine like terms: -2x + 2x = 0 -28 + 9x = 17 + 0 -28 + 9x = 17 Add '28' to each side of the equation. -28 + 28 + 9x = 17 + 28 Combine like terms: -28 + 28 = 0 0 + 9x = 17 + 28 9x = 17 + 28 Combine like terms: 17 + 28 = 45 9x = 45 Divide each side by '9'. x = 5 Simplifying x = 5
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