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Simplifying 13x + 3 = 4(2x + 1) + -1x + 6 Reorder the terms: 3 + 13x = 4(2x + 1) + -1x + 6 Reorder the terms: 3 + 13x = 4(1 + 2x) + -1x + 6 3 + 13x = (1 * 4 + 2x * 4) + -1x + 6 3 + 13x = (4 + 8x) + -1x + 6 Reorder the terms: 3 + 13x = 4 + 6 + 8x + -1x Combine like terms: 4 + 6 = 10 3 + 13x = 10 + 8x + -1x Combine like terms: 8x + -1x = 7x 3 + 13x = 10 + 7x Solving 3 + 13x = 10 + 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. 3 + 13x + -7x = 10 + 7x + -7x Combine like terms: 13x + -7x = 6x 3 + 6x = 10 + 7x + -7x Combine like terms: 7x + -7x = 0 3 + 6x = 10 + 0 3 + 6x = 10 Add '-3' to each side of the equation. 3 + -3 + 6x = 10 + -3 Combine like terms: 3 + -3 = 0 0 + 6x = 10 + -3 6x = 10 + -3 Combine like terms: 10 + -3 = 7 6x = 7 Divide each side by '6'. x = 1.166666667 Simplifying x = 1.166666667
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