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Simplifying 5x + -6 = 13x + 74 Reorder the terms: -6 + 5x = 13x + 74 Reorder the terms: -6 + 5x = 74 + 13x Solving -6 + 5x = 74 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. -6 + 5x + -13x = 74 + 13x + -13x Combine like terms: 5x + -13x = -8x -6 + -8x = 74 + 13x + -13x Combine like terms: 13x + -13x = 0 -6 + -8x = 74 + 0 -6 + -8x = 74 Add '6' to each side of the equation. -6 + 6 + -8x = 74 + 6 Combine like terms: -6 + 6 = 0 0 + -8x = 74 + 6 -8x = 74 + 6 Combine like terms: 74 + 6 = 80 -8x = 80 Divide each side by '-8'. x = -10 Simplifying x = -10
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