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Simplifying 10x + -9 = -5(x + 6) + 21 Reorder the terms: -9 + 10x = -5(x + 6) + 21 Reorder the terms: -9 + 10x = -5(6 + x) + 21 -9 + 10x = (6 * -5 + x * -5) + 21 -9 + 10x = (-30 + -5x) + 21 Reorder the terms: -9 + 10x = -30 + 21 + -5x Combine like terms: -30 + 21 = -9 -9 + 10x = -9 + -5x Add '9' to each side of the equation. -9 + 9 + 10x = -9 + 9 + -5x Combine like terms: -9 + 9 = 0 0 + 10x = -9 + 9 + -5x 10x = -9 + 9 + -5x Combine like terms: -9 + 9 = 0 10x = 0 + -5x 10x = -5x Solving 10x = -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 10x + 5x = -5x + 5x Combine like terms: 10x + 5x = 15x 15x = -5x + 5x Combine like terms: -5x + 5x = 0 15x = 0 Divide each side by '15'. x = 0 Simplifying x = 0
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