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Simplifying 52 = -2(4 + -1x) + -6(5x + 4) 52 = (4 * -2 + -1x * -2) + -6(5x + 4) 52 = (-8 + 2x) + -6(5x + 4) Reorder the terms: 52 = -8 + 2x + -6(4 + 5x) 52 = -8 + 2x + (4 * -6 + 5x * -6) 52 = -8 + 2x + (-24 + -30x) Reorder the terms: 52 = -8 + -24 + 2x + -30x Combine like terms: -8 + -24 = -32 52 = -32 + 2x + -30x Combine like terms: 2x + -30x = -28x 52 = -32 + -28x Solving 52 = -32 + -28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '28x' to each side of the equation. 52 + 28x = -32 + -28x + 28x Combine like terms: -28x + 28x = 0 52 + 28x = -32 + 0 52 + 28x = -32 Add '-52' to each side of the equation. 52 + -52 + 28x = -32 + -52 Combine like terms: 52 + -52 = 0 0 + 28x = -32 + -52 28x = -32 + -52 Combine like terms: -32 + -52 = -84 28x = -84 Divide each side by '28'. x = -3 Simplifying x = -3
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