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Simplifying 5(2x + -3) + 6 = 8x + -9 Reorder the terms: 5(-3 + 2x) + 6 = 8x + -9 (-3 * 5 + 2x * 5) + 6 = 8x + -9 (-15 + 10x) + 6 = 8x + -9 Reorder the terms: -15 + 6 + 10x = 8x + -9 Combine like terms: -15 + 6 = -9 -9 + 10x = 8x + -9 Reorder the terms: -9 + 10x = -9 + 8x Add '9' to each side of the equation. -9 + 9 + 10x = -9 + 9 + 8x Combine like terms: -9 + 9 = 0 0 + 10x = -9 + 9 + 8x 10x = -9 + 9 + 8x Combine like terms: -9 + 9 = 0 10x = 0 + 8x 10x = 8x Solving 10x = 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 10x + -8x = 8x + -8x Combine like terms: 10x + -8x = 2x 2x = 8x + -8x Combine like terms: 8x + -8x = 0 2x = 0 Divide each side by '2'. x = 0 Simplifying x = 0
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