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Simplifying 10 + -2(2x + -9) + -4(6 + x) = 52 Reorder the terms: 10 + -2(-9 + 2x) + -4(6 + x) = 52 10 + (-9 * -2 + 2x * -2) + -4(6 + x) = 52 10 + (18 + -4x) + -4(6 + x) = 52 10 + 18 + -4x + (6 * -4 + x * -4) = 52 10 + 18 + -4x + (-24 + -4x) = 52 Reorder the terms: 10 + 18 + -24 + -4x + -4x = 52 Combine like terms: 10 + 18 = 28 28 + -24 + -4x + -4x = 52 Combine like terms: 28 + -24 = 4 4 + -4x + -4x = 52 Combine like terms: -4x + -4x = -8x 4 + -8x = 52 Solving 4 + -8x = 52 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -8x = 52 + -4 Combine like terms: 4 + -4 = 0 0 + -8x = 52 + -4 -8x = 52 + -4 Combine like terms: 52 + -4 = 48 -8x = 48 Divide each side by '-8'. x = -6 Simplifying x = -6
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