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Simplifying 5x + 8 = 4x + -12 + 33 Reorder the terms: 8 + 5x = 4x + -12 + 33 Reorder the terms: 8 + 5x = -12 + 33 + 4x Combine like terms: -12 + 33 = 21 8 + 5x = 21 + 4x Solving 8 + 5x = 21 + 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. 8 + 5x + -4x = 21 + 4x + -4x Combine like terms: 5x + -4x = 1x 8 + 1x = 21 + 4x + -4x Combine like terms: 4x + -4x = 0 8 + 1x = 21 + 0 8 + 1x = 21 Add '-8' to each side of the equation. 8 + -8 + 1x = 21 + -8 Combine like terms: 8 + -8 = 0 0 + 1x = 21 + -8 1x = 21 + -8 Combine like terms: 21 + -8 = 13 1x = 13 Divide each side by '1'. x = 13 Simplifying x = 13
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