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Simplifying 6(5x + -6) + -6x = 36 + 6x Reorder the terms: 6(-6 + 5x) + -6x = 36 + 6x (-6 * 6 + 5x * 6) + -6x = 36 + 6x (-36 + 30x) + -6x = 36 + 6x Combine like terms: 30x + -6x = 24x -36 + 24x = 36 + 6x Solving -36 + 24x = 36 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -36 + 24x + -6x = 36 + 6x + -6x Combine like terms: 24x + -6x = 18x -36 + 18x = 36 + 6x + -6x Combine like terms: 6x + -6x = 0 -36 + 18x = 36 + 0 -36 + 18x = 36 Add '36' to each side of the equation. -36 + 36 + 18x = 36 + 36 Combine like terms: -36 + 36 = 0 0 + 18x = 36 + 36 18x = 36 + 36 Combine like terms: 36 + 36 = 72 18x = 72 Divide each side by '18'. x = 4 Simplifying x = 4
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