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Simplifying 3x + -5 = 8 + -8(6 + 5x) Reorder the terms: -5 + 3x = 8 + -8(6 + 5x) -5 + 3x = 8 + (6 * -8 + 5x * -8) -5 + 3x = 8 + (-48 + -40x) Combine like terms: 8 + -48 = -40 -5 + 3x = -40 + -40x Solving -5 + 3x = -40 + -40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40x' to each side of the equation. -5 + 3x + 40x = -40 + -40x + 40x Combine like terms: 3x + 40x = 43x -5 + 43x = -40 + -40x + 40x Combine like terms: -40x + 40x = 0 -5 + 43x = -40 + 0 -5 + 43x = -40 Add '5' to each side of the equation. -5 + 5 + 43x = -40 + 5 Combine like terms: -5 + 5 = 0 0 + 43x = -40 + 5 43x = -40 + 5 Combine like terms: -40 + 5 = -35 43x = -35 Divide each side by '43'. x = -0.8139534884 Simplifying x = -0.8139534884
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