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Simplifying 5x + 2(3x + -4) = 8x + 1 Reorder the terms: 5x + 2(-4 + 3x) = 8x + 1 5x + (-4 * 2 + 3x * 2) = 8x + 1 5x + (-8 + 6x) = 8x + 1 Reorder the terms: -8 + 5x + 6x = 8x + 1 Combine like terms: 5x + 6x = 11x -8 + 11x = 8x + 1 Reorder the terms: -8 + 11x = 1 + 8x Solving -8 + 11x = 1 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -8 + 11x + -8x = 1 + 8x + -8x Combine like terms: 11x + -8x = 3x -8 + 3x = 1 + 8x + -8x Combine like terms: 8x + -8x = 0 -8 + 3x = 1 + 0 -8 + 3x = 1 Add '8' to each side of the equation. -8 + 8 + 3x = 1 + 8 Combine like terms: -8 + 8 = 0 0 + 3x = 1 + 8 3x = 1 + 8 Combine like terms: 1 + 8 = 9 3x = 9 Divide each side by '3'. x = 3 Simplifying x = 3
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