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Simplifying 13x + 3 = 4(3x + 1) + -1x + 6 Reorder the terms: 3 + 13x = 4(3x + 1) + -1x + 6 Reorder the terms: 3 + 13x = 4(1 + 3x) + -1x + 6 3 + 13x = (1 * 4 + 3x * 4) + -1x + 6 3 + 13x = (4 + 12x) + -1x + 6 Reorder the terms: 3 + 13x = 4 + 6 + 12x + -1x Combine like terms: 4 + 6 = 10 3 + 13x = 10 + 12x + -1x Combine like terms: 12x + -1x = 11x 3 + 13x = 10 + 11x Solving 3 + 13x = 10 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 3 + 13x + -11x = 10 + 11x + -11x Combine like terms: 13x + -11x = 2x 3 + 2x = 10 + 11x + -11x Combine like terms: 11x + -11x = 0 3 + 2x = 10 + 0 3 + 2x = 10 Add '-3' to each side of the equation. 3 + -3 + 2x = 10 + -3 Combine like terms: 3 + -3 = 0 0 + 2x = 10 + -3 2x = 10 + -3 Combine like terms: 10 + -3 = 7 2x = 7 Divide each side by '2'. x = 3.5 Simplifying x = 3.5
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