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Simplifying 6x + 5 = -1x + 33 Reorder the terms: 5 + 6x = -1x + 33 Reorder the terms: 5 + 6x = 33 + -1x Solving 5 + 6x = 33 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 5 + 6x + x = 33 + -1x + x Combine like terms: 6x + x = 7x 5 + 7x = 33 + -1x + x Combine like terms: -1x + x = 0 5 + 7x = 33 + 0 5 + 7x = 33 Add '-5' to each side of the equation. 5 + -5 + 7x = 33 + -5 Combine like terms: 5 + -5 = 0 0 + 7x = 33 + -5 7x = 33 + -5 Combine like terms: 33 + -5 = 28 7x = 28 Divide each side by '7'. x = 4 Simplifying x = 4
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