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Simplifying 4(2x + 2) + 6(x + -4) = 8 Reorder the terms: 4(2 + 2x) + 6(x + -4) = 8 (2 * 4 + 2x * 4) + 6(x + -4) = 8 (8 + 8x) + 6(x + -4) = 8 Reorder the terms: 8 + 8x + 6(-4 + x) = 8 8 + 8x + (-4 * 6 + x * 6) = 8 8 + 8x + (-24 + 6x) = 8 Reorder the terms: 8 + -24 + 8x + 6x = 8 Combine like terms: 8 + -24 = -16 -16 + 8x + 6x = 8 Combine like terms: 8x + 6x = 14x -16 + 14x = 8 Solving -16 + 14x = 8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 14x = 8 + 16 Combine like terms: -16 + 16 = 0 0 + 14x = 8 + 16 14x = 8 + 16 Combine like terms: 8 + 16 = 24 14x = 24 Divide each side by '14'. x = 1.714285714 Simplifying x = 1.714285714
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