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Simplifying -6 = -3(x + -3) + 9(x + -5) Reorder the terms: -6 = -3(-3 + x) + 9(x + -5) -6 = (-3 * -3 + x * -3) + 9(x + -5) -6 = (9 + -3x) + 9(x + -5) Reorder the terms: -6 = 9 + -3x + 9(-5 + x) -6 = 9 + -3x + (-5 * 9 + x * 9) -6 = 9 + -3x + (-45 + 9x) Reorder the terms: -6 = 9 + -45 + -3x + 9x Combine like terms: 9 + -45 = -36 -6 = -36 + -3x + 9x Combine like terms: -3x + 9x = 6x -6 = -36 + 6x Solving -6 = -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. -6 + -6x = -36 + 6x + -6x Combine like terms: 6x + -6x = 0 -6 + -6x = -36 + 0 -6 + -6x = -36 Add '6' to each side of the equation. -6 + 6 + -6x = -36 + 6 Combine like terms: -6 + 6 = 0 0 + -6x = -36 + 6 -6x = -36 + 6 Combine like terms: -36 + 6 = -30 -6x = -30 Divide each side by '-6'. x = 5 Simplifying x = 5
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