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Simplifying 6(x + 5) + -6 = 48 + -2x Reorder the terms: 6(5 + x) + -6 = 48 + -2x (5 * 6 + x * 6) + -6 = 48 + -2x (30 + 6x) + -6 = 48 + -2x Reorder the terms: 30 + -6 + 6x = 48 + -2x Combine like terms: 30 + -6 = 24 24 + 6x = 48 + -2x Solving 24 + 6x = 48 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 24 + 6x + 2x = 48 + -2x + 2x Combine like terms: 6x + 2x = 8x 24 + 8x = 48 + -2x + 2x Combine like terms: -2x + 2x = 0 24 + 8x = 48 + 0 24 + 8x = 48 Add '-24' to each side of the equation. 24 + -24 + 8x = 48 + -24 Combine like terms: 24 + -24 = 0 0 + 8x = 48 + -24 8x = 48 + -24 Combine like terms: 48 + -24 = 24 8x = 24 Divide each side by '8'. x = 3 Simplifying x = 3
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