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Simplifying -2(x + 6) + 3(2x + -5) = 3 Reorder the terms: -2(6 + x) + 3(2x + -5) = 3 (6 * -2 + x * -2) + 3(2x + -5) = 3 (-12 + -2x) + 3(2x + -5) = 3 Reorder the terms: -12 + -2x + 3(-5 + 2x) = 3 -12 + -2x + (-5 * 3 + 2x * 3) = 3 -12 + -2x + (-15 + 6x) = 3 Reorder the terms: -12 + -15 + -2x + 6x = 3 Combine like terms: -12 + -15 = -27 -27 + -2x + 6x = 3 Combine like terms: -2x + 6x = 4x -27 + 4x = 3 Solving -27 + 4x = 3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + 4x = 3 + 27 Combine like terms: -27 + 27 = 0 0 + 4x = 3 + 27 4x = 3 + 27 Combine like terms: 3 + 27 = 30 4x = 30 Divide each side by '4'. x = 7.5 Simplifying x = 7.5
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