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Simplifying 10x + 65 = 6x + 33 Reorder the terms: 65 + 10x = 6x + 33 Reorder the terms: 65 + 10x = 33 + 6x Solving 65 + 10x = 33 + 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. 65 + 10x + -6x = 33 + 6x + -6x Combine like terms: 10x + -6x = 4x 65 + 4x = 33 + 6x + -6x Combine like terms: 6x + -6x = 0 65 + 4x = 33 + 0 65 + 4x = 33 Add '-65' to each side of the equation. 65 + -65 + 4x = 33 + -65 Combine like terms: 65 + -65 = 0 0 + 4x = 33 + -65 4x = 33 + -65 Combine like terms: 33 + -65 = -32 4x = -32 Divide each side by '4'. x = -8 Simplifying x = -8
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