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Simplifying 13x + 4 = 3(4x + 1) + -1x + 8 Reorder the terms: 4 + 13x = 3(4x + 1) + -1x + 8 Reorder the terms: 4 + 13x = 3(1 + 4x) + -1x + 8 4 + 13x = (1 * 3 + 4x * 3) + -1x + 8 4 + 13x = (3 + 12x) + -1x + 8 Reorder the terms: 4 + 13x = 3 + 8 + 12x + -1x Combine like terms: 3 + 8 = 11 4 + 13x = 11 + 12x + -1x Combine like terms: 12x + -1x = 11x 4 + 13x = 11 + 11x Solving 4 + 13x = 11 + 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. 4 + 13x + -11x = 11 + 11x + -11x Combine like terms: 13x + -11x = 2x 4 + 2x = 11 + 11x + -11x Combine like terms: 11x + -11x = 0 4 + 2x = 11 + 0 4 + 2x = 11 Add '-4' to each side of the equation. 4 + -4 + 2x = 11 + -4 Combine like terms: 4 + -4 = 0 0 + 2x = 11 + -4 2x = 11 + -4 Combine like terms: 11 + -4 = 7 2x = 7 Divide each side by '2'. x = 3.5 Simplifying x = 3.5
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