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Simplifying 9x + 2 = 3 + 2(x + -5) Reorder the terms: 2 + 9x = 3 + 2(x + -5) Reorder the terms: 2 + 9x = 3 + 2(-5 + x) 2 + 9x = 3 + (-5 * 2 + x * 2) 2 + 9x = 3 + (-10 + 2x) Combine like terms: 3 + -10 = -7 2 + 9x = -7 + 2x Solving 2 + 9x = -7 + 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. 2 + 9x + -2x = -7 + 2x + -2x Combine like terms: 9x + -2x = 7x 2 + 7x = -7 + 2x + -2x Combine like terms: 2x + -2x = 0 2 + 7x = -7 + 0 2 + 7x = -7 Add '-2' to each side of the equation. 2 + -2 + 7x = -7 + -2 Combine like terms: 2 + -2 = 0 0 + 7x = -7 + -2 7x = -7 + -2 Combine like terms: -7 + -2 = -9 7x = -9 Divide each side by '7'. x = -1.285714286 Simplifying x = -1.285714286
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