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Simplifying 4(2 + -1x) + 3(2x + -5) = 12 (2 * 4 + -1x * 4) + 3(2x + -5) = 12 (8 + -4x) + 3(2x + -5) = 12 Reorder the terms: 8 + -4x + 3(-5 + 2x) = 12 8 + -4x + (-5 * 3 + 2x * 3) = 12 8 + -4x + (-15 + 6x) = 12 Reorder the terms: 8 + -15 + -4x + 6x = 12 Combine like terms: 8 + -15 = -7 -7 + -4x + 6x = 12 Combine like terms: -4x + 6x = 2x -7 + 2x = 12 Solving -7 + 2x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 2x = 12 + 7 Combine like terms: -7 + 7 = 0 0 + 2x = 12 + 7 2x = 12 + 7 Combine like terms: 12 + 7 = 19 2x = 19 Divide each side by '2'. x = 9.5 Simplifying x = 9.5
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