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Simplifying 3(3x + -5) + -2 = 3(x + -3) + 28 Reorder the terms: 3(-5 + 3x) + -2 = 3(x + -3) + 28 (-5 * 3 + 3x * 3) + -2 = 3(x + -3) + 28 (-15 + 9x) + -2 = 3(x + -3) + 28 Reorder the terms: -15 + -2 + 9x = 3(x + -3) + 28 Combine like terms: -15 + -2 = -17 -17 + 9x = 3(x + -3) + 28 Reorder the terms: -17 + 9x = 3(-3 + x) + 28 -17 + 9x = (-3 * 3 + x * 3) + 28 -17 + 9x = (-9 + 3x) + 28 Reorder the terms: -17 + 9x = -9 + 28 + 3x Combine like terms: -9 + 28 = 19 -17 + 9x = 19 + 3x Solving -17 + 9x = 19 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -17 + 9x + -3x = 19 + 3x + -3x Combine like terms: 9x + -3x = 6x -17 + 6x = 19 + 3x + -3x Combine like terms: 3x + -3x = 0 -17 + 6x = 19 + 0 -17 + 6x = 19 Add '17' to each side of the equation. -17 + 17 + 6x = 19 + 17 Combine like terms: -17 + 17 = 0 0 + 6x = 19 + 17 6x = 19 + 17 Combine like terms: 19 + 17 = 36 6x = 36 Divide each side by '6'. x = 6 Simplifying x = 6
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