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Simplifying 6x + -5 + -4 = x + -9(-5) + 1 Reorder the terms: -5 + -4 + 6x = x + -9(-5) + 1 Combine like terms: -5 + -4 = -9 -9 + 6x = x + -9(-5) + 1 Multiply -9 * -5 -9 + 6x = x + 45 + 1 Reorder the terms: -9 + 6x = 45 + 1 + x Combine like terms: 45 + 1 = 46 -9 + 6x = 46 + x Solving -9 + 6x = 46 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -9 + 6x + -1x = 46 + x + -1x Combine like terms: 6x + -1x = 5x -9 + 5x = 46 + x + -1x Combine like terms: x + -1x = 0 -9 + 5x = 46 + 0 -9 + 5x = 46 Add '9' to each side of the equation. -9 + 9 + 5x = 46 + 9 Combine like terms: -9 + 9 = 0 0 + 5x = 46 + 9 5x = 46 + 9 Combine like terms: 46 + 9 = 55 5x = 55 Divide each side by '5'. x = 11 Simplifying x = 11
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