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Simplifying 7(x + 9) + 4 = 9x + -2(x + -4) Reorder the terms: 7(9 + x) + 4 = 9x + -2(x + -4) (9 * 7 + x * 7) + 4 = 9x + -2(x + -4) (63 + 7x) + 4 = 9x + -2(x + -4) Reorder the terms: 63 + 4 + 7x = 9x + -2(x + -4) Combine like terms: 63 + 4 = 67 67 + 7x = 9x + -2(x + -4) Reorder the terms: 67 + 7x = 9x + -2(-4 + x) 67 + 7x = 9x + (-4 * -2 + x * -2) 67 + 7x = 9x + (8 + -2x) Reorder the terms: 67 + 7x = 8 + 9x + -2x Combine like terms: 9x + -2x = 7x 67 + 7x = 8 + 7x Add '-7x' to each side of the equation. 67 + 7x + -7x = 8 + 7x + -7x Combine like terms: 7x + -7x = 0 67 + 0 = 8 + 7x + -7x 67 = 8 + 7x + -7x Combine like terms: 7x + -7x = 0 67 = 8 + 0 67 = 8 Solving 67 = 8 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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