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Simplifying 8x + 2(x + -4) = 3(x + 1) + -2 Reorder the terms: 8x + 2(-4 + x) = 3(x + 1) + -2 8x + (-4 * 2 + x * 2) = 3(x + 1) + -2 8x + (-8 + 2x) = 3(x + 1) + -2 Reorder the terms: -8 + 8x + 2x = 3(x + 1) + -2 Combine like terms: 8x + 2x = 10x -8 + 10x = 3(x + 1) + -2 Reorder the terms: -8 + 10x = 3(1 + x) + -2 -8 + 10x = (1 * 3 + x * 3) + -2 -8 + 10x = (3 + 3x) + -2 Reorder the terms: -8 + 10x = 3 + -2 + 3x Combine like terms: 3 + -2 = 1 -8 + 10x = 1 + 3x Solving -8 + 10x = 1 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -8 + 10x + -3x = 1 + 3x + -3x Combine like terms: 10x + -3x = 7x -8 + 7x = 1 + 3x + -3x Combine like terms: 3x + -3x = 0 -8 + 7x = 1 + 0 -8 + 7x = 1 Add '8' to each side of the equation. -8 + 8 + 7x = 1 + 8 Combine like terms: -8 + 8 = 0 0 + 7x = 1 + 8 7x = 1 + 8 Combine like terms: 1 + 8 = 9 7x = 9 Divide each side by '7'. x = 1.285714286 Simplifying x = 1.285714286
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