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Simplifying 4x + 6(x + 6) = 8 + 2(x + 2) Reorder the terms: 4x + 6(6 + x) = 8 + 2(x + 2) 4x + (6 * 6 + x * 6) = 8 + 2(x + 2) 4x + (36 + 6x) = 8 + 2(x + 2) Reorder the terms: 36 + 4x + 6x = 8 + 2(x + 2) Combine like terms: 4x + 6x = 10x 36 + 10x = 8 + 2(x + 2) Reorder the terms: 36 + 10x = 8 + 2(2 + x) 36 + 10x = 8 + (2 * 2 + x * 2) 36 + 10x = 8 + (4 + 2x) Combine like terms: 8 + 4 = 12 36 + 10x = 12 + 2x Solving 36 + 10x = 12 + 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. 36 + 10x + -2x = 12 + 2x + -2x Combine like terms: 10x + -2x = 8x 36 + 8x = 12 + 2x + -2x Combine like terms: 2x + -2x = 0 36 + 8x = 12 + 0 36 + 8x = 12 Add '-36' to each side of the equation. 36 + -36 + 8x = 12 + -36 Combine like terms: 36 + -36 = 0 0 + 8x = 12 + -36 8x = 12 + -36 Combine like terms: 12 + -36 = -24 8x = -24 Divide each side by '8'. x = -3 Simplifying x = -3
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