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Simplifying 2(x + 3) + 3x + 3(2x + -4) = 60 Reorder the terms: 2(3 + x) + 3x + 3(2x + -4) = 60 (3 * 2 + x * 2) + 3x + 3(2x + -4) = 60 (6 + 2x) + 3x + 3(2x + -4) = 60 Reorder the terms: 6 + 2x + 3x + 3(-4 + 2x) = 60 6 + 2x + 3x + (-4 * 3 + 2x * 3) = 60 6 + 2x + 3x + (-12 + 6x) = 60 Reorder the terms: 6 + -12 + 2x + 3x + 6x = 60 Combine like terms: 6 + -12 = -6 -6 + 2x + 3x + 6x = 60 Combine like terms: 2x + 3x = 5x -6 + 5x + 6x = 60 Combine like terms: 5x + 6x = 11x -6 + 11x = 60 Solving -6 + 11x = 60 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 11x = 60 + 6 Combine like terms: -6 + 6 = 0 0 + 11x = 60 + 6 11x = 60 + 6 Combine like terms: 60 + 6 = 66 11x = 66 Divide each side by '11'. x = 6 Simplifying x = 6
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