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Simplifying 52 = -6(1 + -5x) + -1(2x + -2) 52 = (1 * -6 + -5x * -6) + -1(2x + -2) 52 = (-6 + 30x) + -1(2x + -2) Reorder the terms: 52 = -6 + 30x + -1(-2 + 2x) 52 = -6 + 30x + (-2 * -1 + 2x * -1) 52 = -6 + 30x + (2 + -2x) Reorder the terms: 52 = -6 + 2 + 30x + -2x Combine like terms: -6 + 2 = -4 52 = -4 + 30x + -2x Combine like terms: 30x + -2x = 28x 52 = -4 + 28x Solving 52 = -4 + 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 = -4 + 28x + -28x Combine like terms: 28x + -28x = 0 52 + -28x = -4 + 0 52 + -28x = -4 Add '-52' to each side of the equation. 52 + -52 + -28x = -4 + -52 Combine like terms: 52 + -52 = 0 0 + -28x = -4 + -52 -28x = -4 + -52 Combine like terms: -4 + -52 = -56 -28x = -56 Divide each side by '-28'. x = 2 Simplifying x = 2
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