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Simplifying 5(x + -6) + 6 = 5x + -6(6 + -1x) Reorder the terms: 5(-6 + x) + 6 = 5x + -6(6 + -1x) (-6 * 5 + x * 5) + 6 = 5x + -6(6 + -1x) (-30 + 5x) + 6 = 5x + -6(6 + -1x) Reorder the terms: -30 + 6 + 5x = 5x + -6(6 + -1x) Combine like terms: -30 + 6 = -24 -24 + 5x = 5x + -6(6 + -1x) -24 + 5x = 5x + (6 * -6 + -1x * -6) -24 + 5x = 5x + (-36 + 6x) Reorder the terms: -24 + 5x = -36 + 5x + 6x Combine like terms: 5x + 6x = 11x -24 + 5x = -36 + 11x Solving -24 + 5x = -36 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -24 + 5x + -11x = -36 + 11x + -11x Combine like terms: 5x + -11x = -6x -24 + -6x = -36 + 11x + -11x Combine like terms: 11x + -11x = 0 -24 + -6x = -36 + 0 -24 + -6x = -36 Add '24' to each side of the equation. -24 + 24 + -6x = -36 + 24 Combine like terms: -24 + 24 = 0 0 + -6x = -36 + 24 -6x = -36 + 24 Combine like terms: -36 + 24 = -12 -6x = -12 Divide each side by '-6'. x = 2 Simplifying x = 2
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