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Simplifying 4x + 71 = 3x + -13 + 7x Reorder the terms: 71 + 4x = 3x + -13 + 7x Reorder the terms: 71 + 4x = -13 + 3x + 7x Combine like terms: 3x + 7x = 10x 71 + 4x = -13 + 10x Solving 71 + 4x = -13 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 71 + 4x + -10x = -13 + 10x + -10x Combine like terms: 4x + -10x = -6x 71 + -6x = -13 + 10x + -10x Combine like terms: 10x + -10x = 0 71 + -6x = -13 + 0 71 + -6x = -13 Add '-71' to each side of the equation. 71 + -71 + -6x = -13 + -71 Combine like terms: 71 + -71 = 0 0 + -6x = -13 + -71 -6x = -13 + -71 Combine like terms: -13 + -71 = -84 -6x = -84 Divide each side by '-6'. x = 14 Simplifying x = 14
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