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Simplifying 6(x + -5) + -6 = -3 + (-9x + 9) + 9x Reorder the terms: 6(-5 + x) + -6 = -3 + (-9x + 9) + 9x (-5 * 6 + x * 6) + -6 = -3 + (-9x + 9) + 9x (-30 + 6x) + -6 = -3 + (-9x + 9) + 9x Reorder the terms: -30 + -6 + 6x = -3 + (-9x + 9) + 9x Combine like terms: -30 + -6 = -36 -36 + 6x = -3 + (-9x + 9) + 9x Reorder the terms: -36 + 6x = -3 + (9 + -9x) + 9x Remove parenthesis around (9 + -9x) -36 + 6x = -3 + 9 + -9x + 9x Combine like terms: -3 + 9 = 6 -36 + 6x = 6 + -9x + 9x Combine like terms: -9x + 9x = 0 -36 + 6x = 6 + 0 -36 + 6x = 6 Solving -36 + 6x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + 6x = 6 + 36 Combine like terms: -36 + 36 = 0 0 + 6x = 6 + 36 6x = 6 + 36 Combine like terms: 6 + 36 = 42 6x = 42 Divide each side by '6'. x = 7 Simplifying x = 7
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