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Simplifying 17(14x + -10) = 24(x + 5) Reorder the terms: 17(-10 + 14x) = 24(x + 5) (-10 * 17 + 14x * 17) = 24(x + 5) (-170 + 238x) = 24(x + 5) Reorder the terms: -170 + 238x = 24(5 + x) -170 + 238x = (5 * 24 + x * 24) -170 + 238x = (120 + 24x) Solving -170 + 238x = 120 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -170 + 238x + -24x = 120 + 24x + -24x Combine like terms: 238x + -24x = 214x -170 + 214x = 120 + 24x + -24x Combine like terms: 24x + -24x = 0 -170 + 214x = 120 + 0 -170 + 214x = 120 Add '170' to each side of the equation. -170 + 170 + 214x = 120 + 170 Combine like terms: -170 + 170 = 0 0 + 214x = 120 + 170 214x = 120 + 170 Combine like terms: 120 + 170 = 290 214x = 290 Divide each side by '214'. x = 1.355140187 Simplifying x = 1.355140187
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