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Simplifying 2(4 + -3x) = 5 + -7x + 2 (4 * 2 + -3x * 2) = 5 + -7x + 2 (8 + -6x) = 5 + -7x + 2 Reorder the terms: 8 + -6x = 5 + 2 + -7x Combine like terms: 5 + 2 = 7 8 + -6x = 7 + -7x Solving 8 + -6x = 7 + -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. 8 + -6x + 7x = 7 + -7x + 7x Combine like terms: -6x + 7x = 1x 8 + 1x = 7 + -7x + 7x Combine like terms: -7x + 7x = 0 8 + 1x = 7 + 0 8 + 1x = 7 Add '-8' to each side of the equation. 8 + -8 + 1x = 7 + -8 Combine like terms: 8 + -8 = 0 0 + 1x = 7 + -8 1x = 7 + -8 Combine like terms: 7 + -8 = -1 1x = -1 Divide each side by '1'. x = -1 Simplifying x = -1
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