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Simplifying -6(x + 8) = 6(6x + -8) + -2x Reorder the terms: -6(8 + x) = 6(6x + -8) + -2x (8 * -6 + x * -6) = 6(6x + -8) + -2x (-48 + -6x) = 6(6x + -8) + -2x Reorder the terms: -48 + -6x = 6(-8 + 6x) + -2x -48 + -6x = (-8 * 6 + 6x * 6) + -2x -48 + -6x = (-48 + 36x) + -2x Combine like terms: 36x + -2x = 34x -48 + -6x = -48 + 34x Add '48' to each side of the equation. -48 + 48 + -6x = -48 + 48 + 34x Combine like terms: -48 + 48 = 0 0 + -6x = -48 + 48 + 34x -6x = -48 + 48 + 34x Combine like terms: -48 + 48 = 0 -6x = 0 + 34x -6x = 34x Solving -6x = 34x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-34x' to each side of the equation. -6x + -34x = 34x + -34x Combine like terms: -6x + -34x = -40x -40x = 34x + -34x Combine like terms: 34x + -34x = 0 -40x = 0 Divide each side by '-40'. x = 0.0 Simplifying x = 0.0
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