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Simplifying 5(x + 2) + -6 = 7(x + 9) Reorder the terms: 5(2 + x) + -6 = 7(x + 9) (2 * 5 + x * 5) + -6 = 7(x + 9) (10 + 5x) + -6 = 7(x + 9) Reorder the terms: 10 + -6 + 5x = 7(x + 9) Combine like terms: 10 + -6 = 4 4 + 5x = 7(x + 9) Reorder the terms: 4 + 5x = 7(9 + x) 4 + 5x = (9 * 7 + x * 7) 4 + 5x = (63 + 7x) Solving 4 + 5x = 63 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 4 + 5x + -7x = 63 + 7x + -7x Combine like terms: 5x + -7x = -2x 4 + -2x = 63 + 7x + -7x Combine like terms: 7x + -7x = 0 4 + -2x = 63 + 0 4 + -2x = 63 Add '-4' to each side of the equation. 4 + -4 + -2x = 63 + -4 Combine like terms: 4 + -4 = 0 0 + -2x = 63 + -4 -2x = 63 + -4 Combine like terms: 63 + -4 = 59 -2x = 59 Divide each side by '-2'. x = -29.5 Simplifying x = -29.5
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