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Simplifying 6(x + -5) = -9(5 + x) Reorder the terms: 6(-5 + x) = -9(5 + x) (-5 * 6 + x * 6) = -9(5 + x) (-30 + 6x) = -9(5 + x) -30 + 6x = (5 * -9 + x * -9) -30 + 6x = (-45 + -9x) Solving -30 + 6x = -45 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -30 + 6x + 9x = -45 + -9x + 9x Combine like terms: 6x + 9x = 15x -30 + 15x = -45 + -9x + 9x Combine like terms: -9x + 9x = 0 -30 + 15x = -45 + 0 -30 + 15x = -45 Add '30' to each side of the equation. -30 + 30 + 15x = -45 + 30 Combine like terms: -30 + 30 = 0 0 + 15x = -45 + 30 15x = -45 + 30 Combine like terms: -45 + 30 = -15 15x = -15 Divide each side by '15'. x = -1 Simplifying x = -1
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