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Simplifying 8(3x + -17) = 5(15 + -6x) Reorder the terms: 8(-17 + 3x) = 5(15 + -6x) (-17 * 8 + 3x * 8) = 5(15 + -6x) (-136 + 24x) = 5(15 + -6x) -136 + 24x = (15 * 5 + -6x * 5) -136 + 24x = (75 + -30x) Solving -136 + 24x = 75 + -30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30x' to each side of the equation. -136 + 24x + 30x = 75 + -30x + 30x Combine like terms: 24x + 30x = 54x -136 + 54x = 75 + -30x + 30x Combine like terms: -30x + 30x = 0 -136 + 54x = 75 + 0 -136 + 54x = 75 Add '136' to each side of the equation. -136 + 136 + 54x = 75 + 136 Combine like terms: -136 + 136 = 0 0 + 54x = 75 + 136 54x = 75 + 136 Combine like terms: 75 + 136 = 211 54x = 211 Divide each side by '54'. x = 3.907407407 Simplifying x = 3.907407407
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