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Simplifying -6x + 13 = 4x + -77 Reorder the terms: 13 + -6x = 4x + -77 Reorder the terms: 13 + -6x = -77 + 4x Solving 13 + -6x = -77 + 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. 13 + -6x + -4x = -77 + 4x + -4x Combine like terms: -6x + -4x = -10x 13 + -10x = -77 + 4x + -4x Combine like terms: 4x + -4x = 0 13 + -10x = -77 + 0 13 + -10x = -77 Add '-13' to each side of the equation. 13 + -13 + -10x = -77 + -13 Combine like terms: 13 + -13 = 0 0 + -10x = -77 + -13 -10x = -77 + -13 Combine like terms: -77 + -13 = -90 -10x = -90 Divide each side by '-10'. x = 9 Simplifying x = 9
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