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Simplifying 5(3x + -9) + -6 = 5(x + -4) + 39 Reorder the terms: 5(-9 + 3x) + -6 = 5(x + -4) + 39 (-9 * 5 + 3x * 5) + -6 = 5(x + -4) + 39 (-45 + 15x) + -6 = 5(x + -4) + 39 Reorder the terms: -45 + -6 + 15x = 5(x + -4) + 39 Combine like terms: -45 + -6 = -51 -51 + 15x = 5(x + -4) + 39 Reorder the terms: -51 + 15x = 5(-4 + x) + 39 -51 + 15x = (-4 * 5 + x * 5) + 39 -51 + 15x = (-20 + 5x) + 39 Reorder the terms: -51 + 15x = -20 + 39 + 5x Combine like terms: -20 + 39 = 19 -51 + 15x = 19 + 5x Solving -51 + 15x = 19 + 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 + 15x + -5x = 19 + 5x + -5x Combine like terms: 15x + -5x = 10x -51 + 10x = 19 + 5x + -5x Combine like terms: 5x + -5x = 0 -51 + 10x = 19 + 0 -51 + 10x = 19 Add '51' to each side of the equation. -51 + 51 + 10x = 19 + 51 Combine like terms: -51 + 51 = 0 0 + 10x = 19 + 51 10x = 19 + 51 Combine like terms: 19 + 51 = 70 10x = 70 Divide each side by '10'. x = 7 Simplifying x = 7
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