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Simplifying 13x + 4 + 1x + 80 = 3x + -7 + -1x + -29 Reorder the terms: 4 + 80 + 13x + 1x = 3x + -7 + -1x + -29 Combine like terms: 4 + 80 = 84 84 + 13x + 1x = 3x + -7 + -1x + -29 Combine like terms: 13x + 1x = 14x 84 + 14x = 3x + -7 + -1x + -29 Reorder the terms: 84 + 14x = -7 + -29 + 3x + -1x Combine like terms: -7 + -29 = -36 84 + 14x = -36 + 3x + -1x Combine like terms: 3x + -1x = 2x 84 + 14x = -36 + 2x Solving 84 + 14x = -36 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 84 + 14x + -2x = -36 + 2x + -2x Combine like terms: 14x + -2x = 12x 84 + 12x = -36 + 2x + -2x Combine like terms: 2x + -2x = 0 84 + 12x = -36 + 0 84 + 12x = -36 Add '-84' to each side of the equation. 84 + -84 + 12x = -36 + -84 Combine like terms: 84 + -84 = 0 0 + 12x = -36 + -84 12x = -36 + -84 Combine like terms: -36 + -84 = -120 12x = -120 Divide each side by '12'. x = -10 Simplifying x = -10
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