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Simplifying 3(x + -8) = -5(2x + 6) Reorder the terms: 3(-8 + x) = -5(2x + 6) (-8 * 3 + x * 3) = -5(2x + 6) (-24 + 3x) = -5(2x + 6) Reorder the terms: -24 + 3x = -5(6 + 2x) -24 + 3x = (6 * -5 + 2x * -5) -24 + 3x = (-30 + -10x) Solving -24 + 3x = -30 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -24 + 3x + 10x = -30 + -10x + 10x Combine like terms: 3x + 10x = 13x -24 + 13x = -30 + -10x + 10x Combine like terms: -10x + 10x = 0 -24 + 13x = -30 + 0 -24 + 13x = -30 Add '24' to each side of the equation. -24 + 24 + 13x = -30 + 24 Combine like terms: -24 + 24 = 0 0 + 13x = -30 + 24 13x = -30 + 24 Combine like terms: -30 + 24 = -6 13x = -6 Divide each side by '13'. x = -0.4615384615 Simplifying x = -0.4615384615
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