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Simplifying 8(3x + -17) = 2(15 + -6x) Reorder the terms: 8(-17 + 3x) = 2(15 + -6x) (-17 * 8 + 3x * 8) = 2(15 + -6x) (-136 + 24x) = 2(15 + -6x) -136 + 24x = (15 * 2 + -6x * 2) -136 + 24x = (30 + -12x) Solving -136 + 24x = 30 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -136 + 24x + 12x = 30 + -12x + 12x Combine like terms: 24x + 12x = 36x -136 + 36x = 30 + -12x + 12x Combine like terms: -12x + 12x = 0 -136 + 36x = 30 + 0 -136 + 36x = 30 Add '136' to each side of the equation. -136 + 136 + 36x = 30 + 136 Combine like terms: -136 + 136 = 0 0 + 36x = 30 + 136 36x = 30 + 136 Combine like terms: 30 + 136 = 166 36x = 166 Divide each side by '36'. x = 4.611111111 Simplifying x = 4.611111111
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