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Simplifying 52 = -4(6x + 5) + -8(1 + -8x) Reorder the terms: 52 = -4(5 + 6x) + -8(1 + -8x) 52 = (5 * -4 + 6x * -4) + -8(1 + -8x) 52 = (-20 + -24x) + -8(1 + -8x) 52 = -20 + -24x + (1 * -8 + -8x * -8) 52 = -20 + -24x + (-8 + 64x) Reorder the terms: 52 = -20 + -8 + -24x + 64x Combine like terms: -20 + -8 = -28 52 = -28 + -24x + 64x Combine like terms: -24x + 64x = 40x 52 = -28 + 40x Solving 52 = -28 + 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. 52 + -40x = -28 + 40x + -40x Combine like terms: 40x + -40x = 0 52 + -40x = -28 + 0 52 + -40x = -28 Add '-52' to each side of the equation. 52 + -52 + -40x = -28 + -52 Combine like terms: 52 + -52 = 0 0 + -40x = -28 + -52 -40x = -28 + -52 Combine like terms: -28 + -52 = -80 -40x = -80 Divide each side by '-40'. x = 2 Simplifying x = 2
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