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Simplifying 17(4) + 17(9) = 24(x + -10) Multiply 17 * 4 68 + 17(9) = 24(x + -10) Multiply 17 * 9 68 + 153 = 24(x + -10) Combine like terms: 68 + 153 = 221 221 = 24(x + -10) Reorder the terms: 221 = 24(-10 + x) 221 = (-10 * 24 + x * 24) 221 = (-240 + 24x) Solving 221 = -240 + 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. 221 + -24x = -240 + 24x + -24x Combine like terms: 24x + -24x = 0 221 + -24x = -240 + 0 221 + -24x = -240 Add '-221' to each side of the equation. 221 + -221 + -24x = -240 + -221 Combine like terms: 221 + -221 = 0 0 + -24x = -240 + -221 -24x = -240 + -221 Combine like terms: -240 + -221 = -461 -24x = -461 Divide each side by '-24'. x = 19.20833333 Simplifying x = 19.20833333
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