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Simplifying 7(x + -9) + x = 2(x + 2) + -2 Reorder the terms: 7(-9 + x) + x = 2(x + 2) + -2 (-9 * 7 + x * 7) + x = 2(x + 2) + -2 (-63 + 7x) + x = 2(x + 2) + -2 Combine like terms: 7x + x = 8x -63 + 8x = 2(x + 2) + -2 Reorder the terms: -63 + 8x = 2(2 + x) + -2 -63 + 8x = (2 * 2 + x * 2) + -2 -63 + 8x = (4 + 2x) + -2 Reorder the terms: -63 + 8x = 4 + -2 + 2x Combine like terms: 4 + -2 = 2 -63 + 8x = 2 + 2x Solving -63 + 8x = 2 + 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. -63 + 8x + -2x = 2 + 2x + -2x Combine like terms: 8x + -2x = 6x -63 + 6x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 -63 + 6x = 2 + 0 -63 + 6x = 2 Add '63' to each side of the equation. -63 + 63 + 6x = 2 + 63 Combine like terms: -63 + 63 = 0 0 + 6x = 2 + 63 6x = 2 + 63 Combine like terms: 2 + 63 = 65 6x = 65 Divide each side by '6'. x = 10.83333333 Simplifying x = 10.83333333
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