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Simplifying 55(x + -3) + 6 = 5x + -9 Reorder the terms: 55(-3 + x) + 6 = 5x + -9 (-3 * 55 + x * 55) + 6 = 5x + -9 (-165 + 55x) + 6 = 5x + -9 Reorder the terms: -165 + 6 + 55x = 5x + -9 Combine like terms: -165 + 6 = -159 -159 + 55x = 5x + -9 Reorder the terms: -159 + 55x = -9 + 5x Solving -159 + 55x = -9 + 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. -159 + 55x + -5x = -9 + 5x + -5x Combine like terms: 55x + -5x = 50x -159 + 50x = -9 + 5x + -5x Combine like terms: 5x + -5x = 0 -159 + 50x = -9 + 0 -159 + 50x = -9 Add '159' to each side of the equation. -159 + 159 + 50x = -9 + 159 Combine like terms: -159 + 159 = 0 0 + 50x = -9 + 159 50x = -9 + 159 Combine like terms: -9 + 159 = 150 50x = 150 Divide each side by '50'. x = 3 Simplifying x = 3
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