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Simplifying 5x + 33 = (6x + -10) + 11 Reorder the terms: 33 + 5x = (6x + -10) + 11 Reorder the terms: 33 + 5x = (-10 + 6x) + 11 Remove parenthesis around (-10 + 6x) 33 + 5x = -10 + 6x + 11 Reorder the terms: 33 + 5x = -10 + 11 + 6x Combine like terms: -10 + 11 = 1 33 + 5x = 1 + 6x Solving 33 + 5x = 1 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 33 + 5x + -6x = 1 + 6x + -6x Combine like terms: 5x + -6x = -1x 33 + -1x = 1 + 6x + -6x Combine like terms: 6x + -6x = 0 33 + -1x = 1 + 0 33 + -1x = 1 Add '-33' to each side of the equation. 33 + -33 + -1x = 1 + -33 Combine like terms: 33 + -33 = 0 0 + -1x = 1 + -33 -1x = 1 + -33 Combine like terms: 1 + -33 = -32 -1x = -32 Divide each side by '-1'. x = 32 Simplifying x = 32
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