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Simplifying (5 + x + -6) * 5 = (4 + x + -3) * 4 Reorder the terms: (5 + -6 + x) * 5 = (4 + x + -3) * 4 Combine like terms: 5 + -6 = -1 (-1 + x) * 5 = (4 + x + -3) * 4 Reorder the terms for easier multiplication: 5(-1 + x) = (4 + x + -3) * 4 (-1 * 5 + x * 5) = (4 + x + -3) * 4 (-5 + 5x) = (4 + x + -3) * 4 Reorder the terms: -5 + 5x = (4 + -3 + x) * 4 Combine like terms: 4 + -3 = 1 -5 + 5x = (1 + x) * 4 Reorder the terms for easier multiplication: -5 + 5x = 4(1 + x) -5 + 5x = (1 * 4 + x * 4) -5 + 5x = (4 + 4x) Solving -5 + 5x = 4 + 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. -5 + 5x + -4x = 4 + 4x + -4x Combine like terms: 5x + -4x = 1x -5 + 1x = 4 + 4x + -4x Combine like terms: 4x + -4x = 0 -5 + 1x = 4 + 0 -5 + 1x = 4 Add '5' to each side of the equation. -5 + 5 + 1x = 4 + 5 Combine like terms: -5 + 5 = 0 0 + 1x = 4 + 5 1x = 4 + 5 Combine like terms: 4 + 5 = 9 1x = 9 Divide each side by '1'. x = 9 Simplifying x = 9
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