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Simplifying -8(x + 6) + 52 = 10 + -9x Reorder the terms: -8(6 + x) + 52 = 10 + -9x (6 * -8 + x * -8) + 52 = 10 + -9x (-48 + -8x) + 52 = 10 + -9x Reorder the terms: -48 + 52 + -8x = 10 + -9x Combine like terms: -48 + 52 = 4 4 + -8x = 10 + -9x Solving 4 + -8x = 10 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 4 + -8x + 9x = 10 + -9x + 9x Combine like terms: -8x + 9x = 1x 4 + 1x = 10 + -9x + 9x Combine like terms: -9x + 9x = 0 4 + 1x = 10 + 0 4 + 1x = 10 Add '-4' to each side of the equation. 4 + -4 + 1x = 10 + -4 Combine like terms: 4 + -4 = 0 0 + 1x = 10 + -4 1x = 10 + -4 Combine like terms: 10 + -4 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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