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Simplifying 6x + 33 = 16x + -77 Reorder the terms: 33 + 6x = 16x + -77 Reorder the terms: 33 + 6x = -77 + 16x Solving 33 + 6x = -77 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 33 + 6x + -16x = -77 + 16x + -16x Combine like terms: 6x + -16x = -10x 33 + -10x = -77 + 16x + -16x Combine like terms: 16x + -16x = 0 33 + -10x = -77 + 0 33 + -10x = -77 Add '-33' to each side of the equation. 33 + -33 + -10x = -77 + -33 Combine like terms: 33 + -33 = 0 0 + -10x = -77 + -33 -10x = -77 + -33 Combine like terms: -77 + -33 = -110 -10x = -110 Divide each side by '-10'. x = 11 Simplifying x = 11
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