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Simplifying 3 + 2(x + -5) + -6(3) = 18 + -6 Reorder the terms: 3 + 2(-5 + x) + -6(3) = 18 + -6 3 + (-5 * 2 + x * 2) + -6(3) = 18 + -6 3 + (-10 + 2x) + -6(3) = 18 + -6 Multiply -6 * 3 3 + -10 + 2x + -18 = 18 + -6 Reorder the terms: 3 + -10 + -18 + 2x = 18 + -6 Combine like terms: 3 + -10 = -7 -7 + -18 + 2x = 18 + -6 Combine like terms: -7 + -18 = -25 -25 + 2x = 18 + -6 Combine like terms: 18 + -6 = 12 -25 + 2x = 12 Solving -25 + 2x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + 2x = 12 + 25 Combine like terms: -25 + 25 = 0 0 + 2x = 12 + 25 2x = 12 + 25 Combine like terms: 12 + 25 = 37 2x = 37 Divide each side by '2'. x = 18.5 Simplifying x = 18.5
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