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Simplifying 94(3x + 17) = 5(4x + -12) Reorder the terms: 94(17 + 3x) = 5(4x + -12) (17 * 94 + 3x * 94) = 5(4x + -12) (1598 + 282x) = 5(4x + -12) Reorder the terms: 1598 + 282x = 5(-12 + 4x) 1598 + 282x = (-12 * 5 + 4x * 5) 1598 + 282x = (-60 + 20x) Solving 1598 + 282x = -60 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 1598 + 282x + -20x = -60 + 20x + -20x Combine like terms: 282x + -20x = 262x 1598 + 262x = -60 + 20x + -20x Combine like terms: 20x + -20x = 0 1598 + 262x = -60 + 0 1598 + 262x = -60 Add '-1598' to each side of the equation. 1598 + -1598 + 262x = -60 + -1598 Combine like terms: 1598 + -1598 = 0 0 + 262x = -60 + -1598 262x = -60 + -1598 Combine like terms: -60 + -1598 = -1658 262x = -1658 Divide each side by '262'. x = -6.328244275 Simplifying x = -6.328244275
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