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Simplifying 4(2X + 6) = 5(3X + -14) Reorder the terms: 4(6 + 2X) = 5(3X + -14) (6 * 4 + 2X * 4) = 5(3X + -14) (24 + 8X) = 5(3X + -14) Reorder the terms: 24 + 8X = 5(-14 + 3X) 24 + 8X = (-14 * 5 + 3X * 5) 24 + 8X = (-70 + 15X) Solving 24 + 8X = -70 + 15X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-15X' to each side of the equation. 24 + 8X + -15X = -70 + 15X + -15X Combine like terms: 8X + -15X = -7X 24 + -7X = -70 + 15X + -15X Combine like terms: 15X + -15X = 0 24 + -7X = -70 + 0 24 + -7X = -70 Add '-24' to each side of the equation. 24 + -24 + -7X = -70 + -24 Combine like terms: 24 + -24 = 0 0 + -7X = -70 + -24 -7X = -70 + -24 Combine like terms: -70 + -24 = -94 -7X = -94 Divide each side by '-7'. X = 13.42857143 Simplifying X = 13.42857143
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