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Simplifying 4(x + 7) = 9(x + -9) + 22 Reorder the terms: 4(7 + x) = 9(x + -9) + 22 (7 * 4 + x * 4) = 9(x + -9) + 22 (28 + 4x) = 9(x + -9) + 22 Reorder the terms: 28 + 4x = 9(-9 + x) + 22 28 + 4x = (-9 * 9 + x * 9) + 22 28 + 4x = (-81 + 9x) + 22 Reorder the terms: 28 + 4x = -81 + 22 + 9x Combine like terms: -81 + 22 = -59 28 + 4x = -59 + 9x Solving 28 + 4x = -59 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 28 + 4x + -9x = -59 + 9x + -9x Combine like terms: 4x + -9x = -5x 28 + -5x = -59 + 9x + -9x Combine like terms: 9x + -9x = 0 28 + -5x = -59 + 0 28 + -5x = -59 Add '-28' to each side of the equation. 28 + -28 + -5x = -59 + -28 Combine like terms: 28 + -28 = 0 0 + -5x = -59 + -28 -5x = -59 + -28 Combine like terms: -59 + -28 = -87 -5x = -87 Divide each side by '-5'. x = 17.4 Simplifying x = 17.4
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