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Simplifying 13x + 2 = 4(2x + 1) + -1x + 9 Reorder the terms: 2 + 13x = 4(2x + 1) + -1x + 9 Reorder the terms: 2 + 13x = 4(1 + 2x) + -1x + 9 2 + 13x = (1 * 4 + 2x * 4) + -1x + 9 2 + 13x = (4 + 8x) + -1x + 9 Reorder the terms: 2 + 13x = 4 + 9 + 8x + -1x Combine like terms: 4 + 9 = 13 2 + 13x = 13 + 8x + -1x Combine like terms: 8x + -1x = 7x 2 + 13x = 13 + 7x Solving 2 + 13x = 13 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 2 + 13x + -7x = 13 + 7x + -7x Combine like terms: 13x + -7x = 6x 2 + 6x = 13 + 7x + -7x Combine like terms: 7x + -7x = 0 2 + 6x = 13 + 0 2 + 6x = 13 Add '-2' to each side of the equation. 2 + -2 + 6x = 13 + -2 Combine like terms: 2 + -2 = 0 0 + 6x = 13 + -2 6x = 13 + -2 Combine like terms: 13 + -2 = 11 6x = 11 Divide each side by '6'. x = 1.833333333 Simplifying x = 1.833333333
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