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Simplifying 3(3x + -4) + -5 = 3(x + -5) + 52 Reorder the terms: 3(-4 + 3x) + -5 = 3(x + -5) + 52 (-4 * 3 + 3x * 3) + -5 = 3(x + -5) + 52 (-12 + 9x) + -5 = 3(x + -5) + 52 Reorder the terms: -12 + -5 + 9x = 3(x + -5) + 52 Combine like terms: -12 + -5 = -17 -17 + 9x = 3(x + -5) + 52 Reorder the terms: -17 + 9x = 3(-5 + x) + 52 -17 + 9x = (-5 * 3 + x * 3) + 52 -17 + 9x = (-15 + 3x) + 52 Reorder the terms: -17 + 9x = -15 + 52 + 3x Combine like terms: -15 + 52 = 37 -17 + 9x = 37 + 3x Solving -17 + 9x = 37 + 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 = 37 + 3x + -3x Combine like terms: 9x + -3x = 6x -17 + 6x = 37 + 3x + -3x Combine like terms: 3x + -3x = 0 -17 + 6x = 37 + 0 -17 + 6x = 37 Add '17' to each side of the equation. -17 + 17 + 6x = 37 + 17 Combine like terms: -17 + 17 = 0 0 + 6x = 37 + 17 6x = 37 + 17 Combine like terms: 37 + 17 = 54 6x = 54 Divide each side by '6'. x = 9 Simplifying x = 9
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