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Simplifying 1 + 2x = 7(x + 1) + -6(x + -3) Reorder the terms: 1 + 2x = 7(1 + x) + -6(x + -3) 1 + 2x = (1 * 7 + x * 7) + -6(x + -3) 1 + 2x = (7 + 7x) + -6(x + -3) Reorder the terms: 1 + 2x = 7 + 7x + -6(-3 + x) 1 + 2x = 7 + 7x + (-3 * -6 + x * -6) 1 + 2x = 7 + 7x + (18 + -6x) Reorder the terms: 1 + 2x = 7 + 18 + 7x + -6x Combine like terms: 7 + 18 = 25 1 + 2x = 25 + 7x + -6x Combine like terms: 7x + -6x = 1x 1 + 2x = 25 + 1x Solving 1 + 2x = 25 + 1x 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. 1 + 2x + -1x = 25 + 1x + -1x Combine like terms: 2x + -1x = 1x 1 + 1x = 25 + 1x + -1x Combine like terms: 1x + -1x = 0 1 + 1x = 25 + 0 1 + 1x = 25 Add '-1' to each side of the equation. 1 + -1 + 1x = 25 + -1 Combine like terms: 1 + -1 = 0 0 + 1x = 25 + -1 1x = 25 + -1 Combine like terms: 25 + -1 = 24 1x = 24 Divide each side by '1'. x = 24 Simplifying x = 24
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