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Simplifying 6(3x + 5) = 5(8x + 8) Reorder the terms: 6(5 + 3x) = 5(8x + 8) (5 * 6 + 3x * 6) = 5(8x + 8) (30 + 18x) = 5(8x + 8) Reorder the terms: 30 + 18x = 5(8 + 8x) 30 + 18x = (8 * 5 + 8x * 5) 30 + 18x = (40 + 40x) Solving 30 + 18x = 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. 30 + 18x + -40x = 40 + 40x + -40x Combine like terms: 18x + -40x = -22x 30 + -22x = 40 + 40x + -40x Combine like terms: 40x + -40x = 0 30 + -22x = 40 + 0 30 + -22x = 40 Add '-30' to each side of the equation. 30 + -30 + -22x = 40 + -30 Combine like terms: 30 + -30 = 0 0 + -22x = 40 + -30 -22x = 40 + -30 Combine like terms: 40 + -30 = 10 -22x = 10 Divide each side by '-22'. x = -0.4545454545 Simplifying x = -0.4545454545
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