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Simplifying 5x + 4(x + 11) = 8(x + 4) Reorder the terms: 5x + 4(11 + x) = 8(x + 4) 5x + (11 * 4 + x * 4) = 8(x + 4) 5x + (44 + 4x) = 8(x + 4) Reorder the terms: 44 + 5x + 4x = 8(x + 4) Combine like terms: 5x + 4x = 9x 44 + 9x = 8(x + 4) Reorder the terms: 44 + 9x = 8(4 + x) 44 + 9x = (4 * 8 + x * 8) 44 + 9x = (32 + 8x) Solving 44 + 9x = 32 + 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. 44 + 9x + -8x = 32 + 8x + -8x Combine like terms: 9x + -8x = 1x 44 + 1x = 32 + 8x + -8x Combine like terms: 8x + -8x = 0 44 + 1x = 32 + 0 44 + 1x = 32 Add '-44' to each side of the equation. 44 + -44 + 1x = 32 + -44 Combine like terms: 44 + -44 = 0 0 + 1x = 32 + -44 1x = 32 + -44 Combine like terms: 32 + -44 = -12 1x = -12 Divide each side by '1'. x = -12 Simplifying x = -12
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