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Simplifying 6(5x + 3) + -8x = 6x + 42 Reorder the terms: 6(3 + 5x) + -8x = 6x + 42 (3 * 6 + 5x * 6) + -8x = 6x + 42 (18 + 30x) + -8x = 6x + 42 Combine like terms: 30x + -8x = 22x 18 + 22x = 6x + 42 Reorder the terms: 18 + 22x = 42 + 6x Solving 18 + 22x = 42 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 18 + 22x + -6x = 42 + 6x + -6x Combine like terms: 22x + -6x = 16x 18 + 16x = 42 + 6x + -6x Combine like terms: 6x + -6x = 0 18 + 16x = 42 + 0 18 + 16x = 42 Add '-18' to each side of the equation. 18 + -18 + 16x = 42 + -18 Combine like terms: 18 + -18 = 0 0 + 16x = 42 + -18 16x = 42 + -18 Combine like terms: 42 + -18 = 24 16x = 24 Divide each side by '16'. x = 1.5 Simplifying x = 1.5
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