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Simplifying -6(3x + 5) = 5(8x + 6) Reorder the terms: -6(5 + 3x) = 5(8x + 6) (5 * -6 + 3x * -6) = 5(8x + 6) (-30 + -18x) = 5(8x + 6) Reorder the terms: -30 + -18x = 5(6 + 8x) -30 + -18x = (6 * 5 + 8x * 5) -30 + -18x = (30 + 40x) Solving -30 + -18x = 30 + 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. -30 + -18x + -40x = 30 + 40x + -40x Combine like terms: -18x + -40x = -58x -30 + -58x = 30 + 40x + -40x Combine like terms: 40x + -40x = 0 -30 + -58x = 30 + 0 -30 + -58x = 30 Add '30' to each side of the equation. -30 + 30 + -58x = 30 + 30 Combine like terms: -30 + 30 = 0 0 + -58x = 30 + 30 -58x = 30 + 30 Combine like terms: 30 + 30 = 60 -58x = 60 Divide each side by '-58'. x = -1.034482759 Simplifying x = -1.034482759
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