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Simplifying 4 + (x + 8) = 2(2x + 6) + 20 Reorder the terms: 4 + (8 + x) = 2(2x + 6) + 20 Remove parenthesis around (8 + x) 4 + 8 + x = 2(2x + 6) + 20 Combine like terms: 4 + 8 = 12 12 + x = 2(2x + 6) + 20 Reorder the terms: 12 + x = 2(6 + 2x) + 20 12 + x = (6 * 2 + 2x * 2) + 20 12 + x = (12 + 4x) + 20 Reorder the terms: 12 + x = 12 + 20 + 4x Combine like terms: 12 + 20 = 32 12 + x = 32 + 4x Solving 12 + x = 32 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 12 + x + -4x = 32 + 4x + -4x Combine like terms: x + -4x = -3x 12 + -3x = 32 + 4x + -4x Combine like terms: 4x + -4x = 0 12 + -3x = 32 + 0 12 + -3x = 32 Add '-12' to each side of the equation. 12 + -12 + -3x = 32 + -12 Combine like terms: 12 + -12 = 0 0 + -3x = 32 + -12 -3x = 32 + -12 Combine like terms: 32 + -12 = 20 -3x = 20 Divide each side by '-3'. x = -6.666666667 Simplifying x = -6.666666667
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