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Simplifying 3(2x + -5) + 4(x + -2) = 12 Reorder the terms: 3(-5 + 2x) + 4(x + -2) = 12 (-5 * 3 + 2x * 3) + 4(x + -2) = 12 (-15 + 6x) + 4(x + -2) = 12 Reorder the terms: -15 + 6x + 4(-2 + x) = 12 -15 + 6x + (-2 * 4 + x * 4) = 12 -15 + 6x + (-8 + 4x) = 12 Reorder the terms: -15 + -8 + 6x + 4x = 12 Combine like terms: -15 + -8 = -23 -23 + 6x + 4x = 12 Combine like terms: 6x + 4x = 10x -23 + 10x = 12 Solving -23 + 10x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + 10x = 12 + 23 Combine like terms: -23 + 23 = 0 0 + 10x = 12 + 23 10x = 12 + 23 Combine like terms: 12 + 23 = 35 10x = 35 Divide each side by '10'. x = 3.5 Simplifying x = 3.5
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