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Simplifying 5(4x + -9) + -6 = 5(x + -3) + 54 Reorder the terms: 5(-9 + 4x) + -6 = 5(x + -3) + 54 (-9 * 5 + 4x * 5) + -6 = 5(x + -3) + 54 (-45 + 20x) + -6 = 5(x + -3) + 54 Reorder the terms: -45 + -6 + 20x = 5(x + -3) + 54 Combine like terms: -45 + -6 = -51 -51 + 20x = 5(x + -3) + 54 Reorder the terms: -51 + 20x = 5(-3 + x) + 54 -51 + 20x = (-3 * 5 + x * 5) + 54 -51 + 20x = (-15 + 5x) + 54 Reorder the terms: -51 + 20x = -15 + 54 + 5x Combine like terms: -15 + 54 = 39 -51 + 20x = 39 + 5x Solving -51 + 20x = 39 + 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. -51 + 20x + -5x = 39 + 5x + -5x Combine like terms: 20x + -5x = 15x -51 + 15x = 39 + 5x + -5x Combine like terms: 5x + -5x = 0 -51 + 15x = 39 + 0 -51 + 15x = 39 Add '51' to each side of the equation. -51 + 51 + 15x = 39 + 51 Combine like terms: -51 + 51 = 0 0 + 15x = 39 + 51 15x = 39 + 51 Combine like terms: 39 + 51 = 90 15x = 90 Divide each side by '15'. x = 6 Simplifying x = 6
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