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Simplifying 7x + 3(x + 8) = 6(x + 2) Reorder the terms: 7x + 3(8 + x) = 6(x + 2) 7x + (8 * 3 + x * 3) = 6(x + 2) 7x + (24 + 3x) = 6(x + 2) Reorder the terms: 24 + 7x + 3x = 6(x + 2) Combine like terms: 7x + 3x = 10x 24 + 10x = 6(x + 2) Reorder the terms: 24 + 10x = 6(2 + x) 24 + 10x = (2 * 6 + x * 6) 24 + 10x = (12 + 6x) Solving 24 + 10x = 12 + 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. 24 + 10x + -6x = 12 + 6x + -6x Combine like terms: 10x + -6x = 4x 24 + 4x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 24 + 4x = 12 + 0 24 + 4x = 12 Add '-24' to each side of the equation. 24 + -24 + 4x = 12 + -24 Combine like terms: 24 + -24 = 0 0 + 4x = 12 + -24 4x = 12 + -24 Combine like terms: 12 + -24 = -12 4x = -12 Divide each side by '4'. x = -3 Simplifying x = -3
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