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Simplifying 7(x + 2) + -10 = 9x + 6 Reorder the terms: 7(2 + x) + -10 = 9x + 6 (2 * 7 + x * 7) + -10 = 9x + 6 (14 + 7x) + -10 = 9x + 6 Reorder the terms: 14 + -10 + 7x = 9x + 6 Combine like terms: 14 + -10 = 4 4 + 7x = 9x + 6 Reorder the terms: 4 + 7x = 6 + 9x Solving 4 + 7x = 6 + 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. 4 + 7x + -9x = 6 + 9x + -9x Combine like terms: 7x + -9x = -2x 4 + -2x = 6 + 9x + -9x Combine like terms: 9x + -9x = 0 4 + -2x = 6 + 0 4 + -2x = 6 Add '-4' to each side of the equation. 4 + -4 + -2x = 6 + -4 Combine like terms: 4 + -4 = 0 0 + -2x = 6 + -4 -2x = 6 + -4 Combine like terms: 6 + -4 = 2 -2x = 2 Divide each side by '-2'. x = -1 Simplifying x = -1
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