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Simplifying 3x + 71 = 6x + -10 Reorder the terms: 71 + 3x = 6x + -10 Reorder the terms: 71 + 3x = -10 + 6x Solving 71 + 3x = -10 + 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. 71 + 3x + -6x = -10 + 6x + -6x Combine like terms: 3x + -6x = -3x 71 + -3x = -10 + 6x + -6x Combine like terms: 6x + -6x = 0 71 + -3x = -10 + 0 71 + -3x = -10 Add '-71' to each side of the equation. 71 + -71 + -3x = -10 + -71 Combine like terms: 71 + -71 = 0 0 + -3x = -10 + -71 -3x = -10 + -71 Combine like terms: -10 + -71 = -81 -3x = -81 Divide each side by '-3'. x = 27 Simplifying x = 27
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