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Simplifying 3x + 4 + 10x + -1 = 20 + x + 7 Reorder the terms: 4 + -1 + 3x + 10x = 20 + x + 7 Combine like terms: 4 + -1 = 3 3 + 3x + 10x = 20 + x + 7 Combine like terms: 3x + 10x = 13x 3 + 13x = 20 + x + 7 Reorder the terms: 3 + 13x = 20 + 7 + x Combine like terms: 20 + 7 = 27 3 + 13x = 27 + x Solving 3 + 13x = 27 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 3 + 13x + -1x = 27 + x + -1x Combine like terms: 13x + -1x = 12x 3 + 12x = 27 + x + -1x Combine like terms: x + -1x = 0 3 + 12x = 27 + 0 3 + 12x = 27 Add '-3' to each side of the equation. 3 + -3 + 12x = 27 + -3 Combine like terms: 3 + -3 = 0 0 + 12x = 27 + -3 12x = 27 + -3 Combine like terms: 27 + -3 = 24 12x = 24 Divide each side by '12'. x = 2 Simplifying x = 2
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