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Simplifying 2(5x + -3) = 8(6 + -7x) Reorder the terms: 2(-3 + 5x) = 8(6 + -7x) (-3 * 2 + 5x * 2) = 8(6 + -7x) (-6 + 10x) = 8(6 + -7x) -6 + 10x = (6 * 8 + -7x * 8) -6 + 10x = (48 + -56x) Solving -6 + 10x = 48 + -56x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '56x' to each side of the equation. -6 + 10x + 56x = 48 + -56x + 56x Combine like terms: 10x + 56x = 66x -6 + 66x = 48 + -56x + 56x Combine like terms: -56x + 56x = 0 -6 + 66x = 48 + 0 -6 + 66x = 48 Add '6' to each side of the equation. -6 + 6 + 66x = 48 + 6 Combine like terms: -6 + 6 = 0 0 + 66x = 48 + 6 66x = 48 + 6 Combine like terms: 48 + 6 = 54 66x = 54 Divide each side by '66'. x = 0.8181818182 Simplifying x = 0.8181818182
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