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Simplifying 5(x + -3) + 6 = 4x + -9 Reorder the terms: 5(-3 + x) + 6 = 4x + -9 (-3 * 5 + x * 5) + 6 = 4x + -9 (-15 + 5x) + 6 = 4x + -9 Reorder the terms: -15 + 6 + 5x = 4x + -9 Combine like terms: -15 + 6 = -9 -9 + 5x = 4x + -9 Reorder the terms: -9 + 5x = -9 + 4x Add '9' to each side of the equation. -9 + 9 + 5x = -9 + 9 + 4x Combine like terms: -9 + 9 = 0 0 + 5x = -9 + 9 + 4x 5x = -9 + 9 + 4x Combine like terms: -9 + 9 = 0 5x = 0 + 4x 5x = 4x Solving 5x = 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 5x + -4x = 4x + -4x Combine like terms: 5x + -4x = 1x 1x = 4x + -4x Combine like terms: 4x + -4x = 0 1x = 0 Divide each side by '1'. x = 0 Simplifying x = 0
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