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Simplifying 4(x + 5) = 2(4x + 11) + -2 Reorder the terms: 4(5 + x) = 2(4x + 11) + -2 (5 * 4 + x * 4) = 2(4x + 11) + -2 (20 + 4x) = 2(4x + 11) + -2 Reorder the terms: 20 + 4x = 2(11 + 4x) + -2 20 + 4x = (11 * 2 + 4x * 2) + -2 20 + 4x = (22 + 8x) + -2 Reorder the terms: 20 + 4x = 22 + -2 + 8x Combine like terms: 22 + -2 = 20 20 + 4x = 20 + 8x Add '-20' to each side of the equation. 20 + -20 + 4x = 20 + -20 + 8x Combine like terms: 20 + -20 = 0 0 + 4x = 20 + -20 + 8x 4x = 20 + -20 + 8x Combine like terms: 20 + -20 = 0 4x = 0 + 8x 4x = 8x Solving 4x = 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 4x + -8x = 8x + -8x Combine like terms: 4x + -8x = -4x -4x = 8x + -8x Combine like terms: 8x + -8x = 0 -4x = 0 Divide each side by '-4'. x = 0 Simplifying x = 0
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