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Simplifying 2(3x + -4) + 60 = 3(3x + -1) Reorder the terms: 2(-4 + 3x) + 60 = 3(3x + -1) (-4 * 2 + 3x * 2) + 60 = 3(3x + -1) (-8 + 6x) + 60 = 3(3x + -1) Reorder the terms: -8 + 60 + 6x = 3(3x + -1) Combine like terms: -8 + 60 = 52 52 + 6x = 3(3x + -1) Reorder the terms: 52 + 6x = 3(-1 + 3x) 52 + 6x = (-1 * 3 + 3x * 3) 52 + 6x = (-3 + 9x) Solving 52 + 6x = -3 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 52 + 6x + -9x = -3 + 9x + -9x Combine like terms: 6x + -9x = -3x 52 + -3x = -3 + 9x + -9x Combine like terms: 9x + -9x = 0 52 + -3x = -3 + 0 52 + -3x = -3 Add '-52' to each side of the equation. 52 + -52 + -3x = -3 + -52 Combine like terms: 52 + -52 = 0 0 + -3x = -3 + -52 -3x = -3 + -52 Combine like terms: -3 + -52 = -55 -3x = -55 Divide each side by '-3'. x = 18.33333333 Simplifying x = 18.33333333
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