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Simplifying (5x + 8) * 2 = (4 + -7x) * 2 Reorder the terms: (8 + 5x) * 2 = (4 + -7x) * 2 Reorder the terms for easier multiplication: 2(8 + 5x) = (4 + -7x) * 2 (8 * 2 + 5x * 2) = (4 + -7x) * 2 (16 + 10x) = (4 + -7x) * 2 Reorder the terms for easier multiplication: 16 + 10x = 2(4 + -7x) 16 + 10x = (4 * 2 + -7x * 2) 16 + 10x = (8 + -14x) Solving 16 + 10x = 8 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. 16 + 10x + 14x = 8 + -14x + 14x Combine like terms: 10x + 14x = 24x 16 + 24x = 8 + -14x + 14x Combine like terms: -14x + 14x = 0 16 + 24x = 8 + 0 16 + 24x = 8 Add '-16' to each side of the equation. 16 + -16 + 24x = 8 + -16 Combine like terms: 16 + -16 = 0 0 + 24x = 8 + -16 24x = 8 + -16 Combine like terms: 8 + -16 = -8 24x = -8 Divide each side by '24'. x = -0.3333333333 Simplifying x = -0.3333333333
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