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Simplifying 5x + 2(x + -4) = 8x + 2 Reorder the terms: 5x + 2(-4 + x) = 8x + 2 5x + (-4 * 2 + x * 2) = 8x + 2 5x + (-8 + 2x) = 8x + 2 Reorder the terms: -8 + 5x + 2x = 8x + 2 Combine like terms: 5x + 2x = 7x -8 + 7x = 8x + 2 Reorder the terms: -8 + 7x = 2 + 8x Solving -8 + 7x = 2 + 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 + 7x + -8x = 2 + 8x + -8x Combine like terms: 7x + -8x = -1x -8 + -1x = 2 + 8x + -8x Combine like terms: 8x + -8x = 0 -8 + -1x = 2 + 0 -8 + -1x = 2 Add '8' to each side of the equation. -8 + 8 + -1x = 2 + 8 Combine like terms: -8 + 8 = 0 0 + -1x = 2 + 8 -1x = 2 + 8 Combine like terms: 2 + 8 = 10 -1x = 10 Divide each side by '-1'. x = -10 Simplifying x = -10
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