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Simplifying 3x + 2(5x + -8) = 7x + 8 Reorder the terms: 3x + 2(-8 + 5x) = 7x + 8 3x + (-8 * 2 + 5x * 2) = 7x + 8 3x + (-16 + 10x) = 7x + 8 Reorder the terms: -16 + 3x + 10x = 7x + 8 Combine like terms: 3x + 10x = 13x -16 + 13x = 7x + 8 Reorder the terms: -16 + 13x = 8 + 7x Solving -16 + 13x = 8 + 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. -16 + 13x + -7x = 8 + 7x + -7x Combine like terms: 13x + -7x = 6x -16 + 6x = 8 + 7x + -7x Combine like terms: 7x + -7x = 0 -16 + 6x = 8 + 0 -16 + 6x = 8 Add '16' to each side of the equation. -16 + 16 + 6x = 8 + 16 Combine like terms: -16 + 16 = 0 0 + 6x = 8 + 16 6x = 8 + 16 Combine like terms: 8 + 16 = 24 6x = 24 Divide each side by '6'. x = 4 Simplifying x = 4
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