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Simplifying 6(x + 8) = -6(2x + -6) + 9x Reorder the terms: 6(8 + x) = -6(2x + -6) + 9x (8 * 6 + x * 6) = -6(2x + -6) + 9x (48 + 6x) = -6(2x + -6) + 9x Reorder the terms: 48 + 6x = -6(-6 + 2x) + 9x 48 + 6x = (-6 * -6 + 2x * -6) + 9x 48 + 6x = (36 + -12x) + 9x Combine like terms: -12x + 9x = -3x 48 + 6x = 36 + -3x Solving 48 + 6x = 36 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 48 + 6x + 3x = 36 + -3x + 3x Combine like terms: 6x + 3x = 9x 48 + 9x = 36 + -3x + 3x Combine like terms: -3x + 3x = 0 48 + 9x = 36 + 0 48 + 9x = 36 Add '-48' to each side of the equation. 48 + -48 + 9x = 36 + -48 Combine like terms: 48 + -48 = 0 0 + 9x = 36 + -48 9x = 36 + -48 Combine like terms: 36 + -48 = -12 9x = -12 Divide each side by '9'. x = -1.333333333 Simplifying x = -1.333333333
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