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Simplifying 6x + 13 = -71 + 8x Reorder the terms: 13 + 6x = -71 + 8x Solving 13 + 6x = -71 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 13 + 6x + -8x = -71 + 8x + -8x Combine like terms: 6x + -8x = -2x 13 + -2x = -71 + 8x + -8x Combine like terms: 8x + -8x = 0 13 + -2x = -71 + 0 13 + -2x = -71 Add '-13' to each side of the equation. 13 + -13 + -2x = -71 + -13 Combine like terms: 13 + -13 = 0 0 + -2x = -71 + -13 -2x = -71 + -13 Combine like terms: -71 + -13 = -84 -2x = -84 Divide each side by '-2'. x = 42 Simplifying x = 42
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