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Simplifying -15x + -52 = 11 + -8x Reorder the terms: -52 + -15x = 11 + -8x Solving -52 + -15x = 11 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -52 + -15x + 8x = 11 + -8x + 8x Combine like terms: -15x + 8x = -7x -52 + -7x = 11 + -8x + 8x Combine like terms: -8x + 8x = 0 -52 + -7x = 11 + 0 -52 + -7x = 11 Add '52' to each side of the equation. -52 + 52 + -7x = 11 + 52 Combine like terms: -52 + 52 = 0 0 + -7x = 11 + 52 -7x = 11 + 52 Combine like terms: 11 + 52 = 63 -7x = 63 Divide each side by '-7'. x = -9 Simplifying x = -9
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