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Simplifying 5x + 33 = 4(7 + x) Reorder the terms: 33 + 5x = 4(7 + x) 33 + 5x = (7 * 4 + x * 4) 33 + 5x = (28 + 4x) Solving 33 + 5x = 28 + 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. 33 + 5x + -4x = 28 + 4x + -4x Combine like terms: 5x + -4x = 1x 33 + 1x = 28 + 4x + -4x Combine like terms: 4x + -4x = 0 33 + 1x = 28 + 0 33 + 1x = 28 Add '-33' to each side of the equation. 33 + -33 + 1x = 28 + -33 Combine like terms: 33 + -33 = 0 0 + 1x = 28 + -33 1x = 28 + -33 Combine like terms: 28 + -33 = -5 1x = -5 Divide each side by '1'. x = -5 Simplifying x = -5
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