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Simplifying 5(3x + -9) + -2 = 5(x + -3) + -2 Reorder the terms: 5(-9 + 3x) + -2 = 5(x + -3) + -2 (-9 * 5 + 3x * 5) + -2 = 5(x + -3) + -2 (-45 + 15x) + -2 = 5(x + -3) + -2 Reorder the terms: -45 + -2 + 15x = 5(x + -3) + -2 Combine like terms: -45 + -2 = -47 -47 + 15x = 5(x + -3) + -2 Reorder the terms: -47 + 15x = 5(-3 + x) + -2 -47 + 15x = (-3 * 5 + x * 5) + -2 -47 + 15x = (-15 + 5x) + -2 Reorder the terms: -47 + 15x = -15 + -2 + 5x Combine like terms: -15 + -2 = -17 -47 + 15x = -17 + 5x Solving -47 + 15x = -17 + 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. -47 + 15x + -5x = -17 + 5x + -5x Combine like terms: 15x + -5x = 10x -47 + 10x = -17 + 5x + -5x Combine like terms: 5x + -5x = 0 -47 + 10x = -17 + 0 -47 + 10x = -17 Add '47' to each side of the equation. -47 + 47 + 10x = -17 + 47 Combine like terms: -47 + 47 = 0 0 + 10x = -17 + 47 10x = -17 + 47 Combine like terms: -17 + 47 = 30 10x = 30 Divide each side by '10'. x = 3 Simplifying x = 3
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