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Simplifying -8(4x + -5) + 2(x + -1) = -52 Reorder the terms: -8(-5 + 4x) + 2(x + -1) = -52 (-5 * -8 + 4x * -8) + 2(x + -1) = -52 (40 + -32x) + 2(x + -1) = -52 Reorder the terms: 40 + -32x + 2(-1 + x) = -52 40 + -32x + (-1 * 2 + x * 2) = -52 40 + -32x + (-2 + 2x) = -52 Reorder the terms: 40 + -2 + -32x + 2x = -52 Combine like terms: 40 + -2 = 38 38 + -32x + 2x = -52 Combine like terms: -32x + 2x = -30x 38 + -30x = -52 Solving 38 + -30x = -52 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-38' to each side of the equation. 38 + -38 + -30x = -52 + -38 Combine like terms: 38 + -38 = 0 0 + -30x = -52 + -38 -30x = -52 + -38 Combine like terms: -52 + -38 = -90 -30x = -90 Divide each side by '-30'. x = 3 Simplifying x = 3
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