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Simplifying 9(x + -4) = -2x + 52 Reorder the terms: 9(-4 + x) = -2x + 52 (-4 * 9 + x * 9) = -2x + 52 (-36 + 9x) = -2x + 52 Reorder the terms: -36 + 9x = 52 + -2x Solving -36 + 9x = 52 + -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. -36 + 9x + 2x = 52 + -2x + 2x Combine like terms: 9x + 2x = 11x -36 + 11x = 52 + -2x + 2x Combine like terms: -2x + 2x = 0 -36 + 11x = 52 + 0 -36 + 11x = 52 Add '36' to each side of the equation. -36 + 36 + 11x = 52 + 36 Combine like terms: -36 + 36 = 0 0 + 11x = 52 + 36 11x = 52 + 36 Combine like terms: 52 + 36 = 88 11x = 88 Divide each side by '11'. x = 8 Simplifying x = 8
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