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Simplifying 7(x + 9) = -4x + 52 Reorder the terms: 7(9 + x) = -4x + 52 (9 * 7 + x * 7) = -4x + 52 (63 + 7x) = -4x + 52 Reorder the terms: 63 + 7x = 52 + -4x Solving 63 + 7x = 52 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 63 + 7x + 4x = 52 + -4x + 4x Combine like terms: 7x + 4x = 11x 63 + 11x = 52 + -4x + 4x Combine like terms: -4x + 4x = 0 63 + 11x = 52 + 0 63 + 11x = 52 Add '-63' to each side of the equation. 63 + -63 + 11x = 52 + -63 Combine like terms: 63 + -63 = 0 0 + 11x = 52 + -63 11x = 52 + -63 Combine like terms: 52 + -63 = -11 11x = -11 Divide each side by '11'. x = -1 Simplifying x = -1
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