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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 = -12x -136 + -12x = 90 + 36x + -36x Combine like terms: 36x + -36x = 0 -136 + -12x = 90 + 0 -136 + -12x = 90 Add '136' to each side of the equation. -136 + 136 + -12x = 90 + 136 Combine like terms: -136 + 136 = 0 0 + -12x = 90 + 136 -12x = 90 + 136 Combine like terms: 90 + 136 = 226 -12x = 226 Divide each side by '-12'. x = -18.83333333 Simplifying x = -18.83333333
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