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Simplifying 8(x + -6) = -34 + x Reorder the terms: 8(-6 + x) = -34 + x (-6 * 8 + x * 8) = -34 + x (-48 + 8x) = -34 + x Solving -48 + 8x = -34 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -48 + 8x + -1x = -34 + x + -1x Combine like terms: 8x + -1x = 7x -48 + 7x = -34 + x + -1x Combine like terms: x + -1x = 0 -48 + 7x = -34 + 0 -48 + 7x = -34 Add '48' to each side of the equation. -48 + 48 + 7x = -34 + 48 Combine like terms: -48 + 48 = 0 0 + 7x = -34 + 48 7x = -34 + 48 Combine like terms: -34 + 48 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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