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Simplifying 7x + -2(3x + -7) = 8 + 5(3 + -1x) Reorder the terms: 7x + -2(-7 + 3x) = 8 + 5(3 + -1x) 7x + (-7 * -2 + 3x * -2) = 8 + 5(3 + -1x) 7x + (14 + -6x) = 8 + 5(3 + -1x) Reorder the terms: 14 + 7x + -6x = 8 + 5(3 + -1x) Combine like terms: 7x + -6x = 1x 14 + 1x = 8 + 5(3 + -1x) 14 + 1x = 8 + (3 * 5 + -1x * 5) 14 + 1x = 8 + (15 + -5x) Combine like terms: 8 + 15 = 23 14 + 1x = 23 + -5x Solving 14 + 1x = 23 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 14 + 1x + 5x = 23 + -5x + 5x Combine like terms: 1x + 5x = 6x 14 + 6x = 23 + -5x + 5x Combine like terms: -5x + 5x = 0 14 + 6x = 23 + 0 14 + 6x = 23 Add '-14' to each side of the equation. 14 + -14 + 6x = 23 + -14 Combine like terms: 14 + -14 = 0 0 + 6x = 23 + -14 6x = 23 + -14 Combine like terms: 23 + -14 = 9 6x = 9 Divide each side by '6'. x = 1.5 Simplifying x = 1.5
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