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Simplifying 2x + 3(x + 2) = 8(x + 6) + 2 + x Reorder the terms: 2x + 3(2 + x) = 8(x + 6) + 2 + x 2x + (2 * 3 + x * 3) = 8(x + 6) + 2 + x 2x + (6 + 3x) = 8(x + 6) + 2 + x Reorder the terms: 6 + 2x + 3x = 8(x + 6) + 2 + x Combine like terms: 2x + 3x = 5x 6 + 5x = 8(x + 6) + 2 + x Reorder the terms: 6 + 5x = 8(6 + x) + 2 + x 6 + 5x = (6 * 8 + x * 8) + 2 + x 6 + 5x = (48 + 8x) + 2 + x Reorder the terms: 6 + 5x = 48 + 2 + 8x + x Combine like terms: 48 + 2 = 50 6 + 5x = 50 + 8x + x Combine like terms: 8x + x = 9x 6 + 5x = 50 + 9x Solving 6 + 5x = 50 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 6 + 5x + -9x = 50 + 9x + -9x Combine like terms: 5x + -9x = -4x 6 + -4x = 50 + 9x + -9x Combine like terms: 9x + -9x = 0 6 + -4x = 50 + 0 6 + -4x = 50 Add '-6' to each side of the equation. 6 + -6 + -4x = 50 + -6 Combine like terms: 6 + -6 = 0 0 + -4x = 50 + -6 -4x = 50 + -6 Combine like terms: 50 + -6 = 44 -4x = 44 Divide each side by '-4'. x = -11 Simplifying x = -11
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