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Simplifying 5(x + -6) = 2(x + -15) + 7x Reorder the terms: 5(-6 + x) = 2(x + -15) + 7x (-6 * 5 + x * 5) = 2(x + -15) + 7x (-30 + 5x) = 2(x + -15) + 7x Reorder the terms: -30 + 5x = 2(-15 + x) + 7x -30 + 5x = (-15 * 2 + x * 2) + 7x -30 + 5x = (-30 + 2x) + 7x Combine like terms: 2x + 7x = 9x -30 + 5x = -30 + 9x Add '30' to each side of the equation. -30 + 30 + 5x = -30 + 30 + 9x Combine like terms: -30 + 30 = 0 0 + 5x = -30 + 30 + 9x 5x = -30 + 30 + 9x Combine like terms: -30 + 30 = 0 5x = 0 + 9x 5x = 9x Solving 5x = 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. 5x + -9x = 9x + -9x Combine like terms: 5x + -9x = -4x -4x = 9x + -9x Combine like terms: 9x + -9x = 0 -4x = 0 Divide each side by '-4'. x = 0 Simplifying x = 0
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