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Simplifying 7 + 10(-3 + 4x) = 217 7 + (-3 * 10 + 4x * 10) = 217 7 + (-30 + 40x) = 217 Combine like terms: 7 + -30 = -23 -23 + 40x = 217 Solving -23 + 40x = 217 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + 40x = 217 + 23 Combine like terms: -23 + 23 = 0 0 + 40x = 217 + 23 40x = 217 + 23 Combine like terms: 217 + 23 = 240 40x = 240 Divide each side by '40'. x = 6 Simplifying x = 6
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