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Simplifying -6 = -6(x + -4) + 9(x + -6) Reorder the terms: -6 = -6(-4 + x) + 9(x + -6) -6 = (-4 * -6 + x * -6) + 9(x + -6) -6 = (24 + -6x) + 9(x + -6) Reorder the terms: -6 = 24 + -6x + 9(-6 + x) -6 = 24 + -6x + (-6 * 9 + x * 9) -6 = 24 + -6x + (-54 + 9x) Reorder the terms: -6 = 24 + -54 + -6x + 9x Combine like terms: 24 + -54 = -30 -6 = -30 + -6x + 9x Combine like terms: -6x + 9x = 3x -6 = -30 + 3x Solving -6 = -30 + 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. -6 + -3x = -30 + 3x + -3x Combine like terms: 3x + -3x = 0 -6 + -3x = -30 + 0 -6 + -3x = -30 Add '6' to each side of the equation. -6 + 6 + -3x = -30 + 6 Combine like terms: -6 + 6 = 0 0 + -3x = -30 + 6 -3x = -30 + 6 Combine like terms: -30 + 6 = -24 -3x = -24 Divide each side by '-3'. x = 8 Simplifying x = 8
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