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Simplifying 2(x + -4) + 8 + -4(2x + 7) = 10 Reorder the terms: 2(-4 + x) + 8 + -4(2x + 7) = 10 (-4 * 2 + x * 2) + 8 + -4(2x + 7) = 10 (-8 + 2x) + 8 + -4(2x + 7) = 10 Reorder the terms: -8 + 2x + 8 + -4(7 + 2x) = 10 -8 + 2x + 8 + (7 * -4 + 2x * -4) = 10 -8 + 2x + 8 + (-28 + -8x) = 10 Reorder the terms: -8 + 8 + -28 + 2x + -8x = 10 Combine like terms: -8 + 8 = 0 0 + -28 + 2x + -8x = 10 -28 + 2x + -8x = 10 Combine like terms: 2x + -8x = -6x -28 + -6x = 10 Solving -28 + -6x = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + -6x = 10 + 28 Combine like terms: -28 + 28 = 0 0 + -6x = 10 + 28 -6x = 10 + 28 Combine like terms: 10 + 28 = 38 -6x = 38 Divide each side by '-6'. x = -6.333333333 Simplifying x = -6.333333333
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