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Simplifying 511 = 3 + 2(x + -5) Reorder the terms: 511 = 3 + 2(-5 + x) 511 = 3 + (-5 * 2 + x * 2) 511 = 3 + (-10 + 2x) Combine like terms: 3 + -10 = -7 511 = -7 + 2x Solving 511 = -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. 511 + -2x = -7 + 2x + -2x Combine like terms: 2x + -2x = 0 511 + -2x = -7 + 0 511 + -2x = -7 Add '-511' to each side of the equation. 511 + -511 + -2x = -7 + -511 Combine like terms: 511 + -511 = 0 0 + -2x = -7 + -511 -2x = -7 + -511 Combine like terms: -7 + -511 = -518 -2x = -518 Divide each side by '-2'. x = 259 Simplifying x = 259
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