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Simplifying 6(5x + 1) = 8(-3x + 3) Reorder the terms: 6(1 + 5x) = 8(-3x + 3) (1 * 6 + 5x * 6) = 8(-3x + 3) (6 + 30x) = 8(-3x + 3) Reorder the terms: 6 + 30x = 8(3 + -3x) 6 + 30x = (3 * 8 + -3x * 8) 6 + 30x = (24 + -24x) Solving 6 + 30x = 24 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. 6 + 30x + 24x = 24 + -24x + 24x Combine like terms: 30x + 24x = 54x 6 + 54x = 24 + -24x + 24x Combine like terms: -24x + 24x = 0 6 + 54x = 24 + 0 6 + 54x = 24 Add '-6' to each side of the equation. 6 + -6 + 54x = 24 + -6 Combine like terms: 6 + -6 = 0 0 + 54x = 24 + -6 54x = 24 + -6 Combine like terms: 24 + -6 = 18 54x = 18 Divide each side by '54'. x = 0.3333333333 Simplifying x = 0.3333333333
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