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Simplifying 8(3x + -17) = 6(15 + -6x) Reorder the terms: 8(-17 + 3x) = 6(15 + -6x) (-17 * 8 + 3x * 8) = 6(15 + -6x) (-136 + 24x) = 6(15 + -6x) -136 + 24x = (15 * 6 + -6x * 6) -136 + 24x = (90 + -36x) Solving -136 + 24x = 90 + -36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36x' to each side of the equation. -136 + 24x + 36x = 90 + -36x + 36x Combine like terms: 24x + 36x = 60x -136 + 60x = 90 + -36x + 36x Combine like terms: -36x + 36x = 0 -136 + 60x = 90 + 0 -136 + 60x = 90 Add '136' to each side of the equation. -136 + 136 + 60x = 90 + 136 Combine like terms: -136 + 136 = 0 0 + 60x = 90 + 136 60x = 90 + 136 Combine like terms: 90 + 136 = 226 60x = 226 Divide each side by '60'. x = 3.766666667 Simplifying x = 3.766666667
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