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Simplifying 3(2x + -5) + -2(2x + -12) = 23 Reorder the terms: 3(-5 + 2x) + -2(2x + -12) = 23 (-5 * 3 + 2x * 3) + -2(2x + -12) = 23 (-15 + 6x) + -2(2x + -12) = 23 Reorder the terms: -15 + 6x + -2(-12 + 2x) = 23 -15 + 6x + (-12 * -2 + 2x * -2) = 23 -15 + 6x + (24 + -4x) = 23 Reorder the terms: -15 + 24 + 6x + -4x = 23 Combine like terms: -15 + 24 = 9 9 + 6x + -4x = 23 Combine like terms: 6x + -4x = 2x 9 + 2x = 23 Solving 9 + 2x = 23 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 2x = 23 + -9 Combine like terms: 9 + -9 = 0 0 + 2x = 23 + -9 2x = 23 + -9 Combine like terms: 23 + -9 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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