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Simplifying 6(6x + -5) = 23 + -3(8x + 1) Reorder the terms: 6(-5 + 6x) = 23 + -3(8x + 1) (-5 * 6 + 6x * 6) = 23 + -3(8x + 1) (-30 + 36x) = 23 + -3(8x + 1) Reorder the terms: -30 + 36x = 23 + -3(1 + 8x) -30 + 36x = 23 + (1 * -3 + 8x * -3) -30 + 36x = 23 + (-3 + -24x) Combine like terms: 23 + -3 = 20 -30 + 36x = 20 + -24x Solving -30 + 36x = 20 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. -30 + 36x + 24x = 20 + -24x + 24x Combine like terms: 36x + 24x = 60x -30 + 60x = 20 + -24x + 24x Combine like terms: -24x + 24x = 0 -30 + 60x = 20 + 0 -30 + 60x = 20 Add '30' to each side of the equation. -30 + 30 + 60x = 20 + 30 Combine like terms: -30 + 30 = 0 0 + 60x = 20 + 30 60x = 20 + 30 Combine like terms: 20 + 30 = 50 60x = 50 Divide each side by '60'. x = 0.8333333333 Simplifying x = 0.8333333333
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