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Simplifying 4(x + -2) + -3(x + 12) = 3 Reorder the terms: 4(-2 + x) + -3(x + 12) = 3 (-2 * 4 + x * 4) + -3(x + 12) = 3 (-8 + 4x) + -3(x + 12) = 3 Reorder the terms: -8 + 4x + -3(12 + x) = 3 -8 + 4x + (12 * -3 + x * -3) = 3 -8 + 4x + (-36 + -3x) = 3 Reorder the terms: -8 + -36 + 4x + -3x = 3 Combine like terms: -8 + -36 = -44 -44 + 4x + -3x = 3 Combine like terms: 4x + -3x = 1x -44 + 1x = 3 Solving -44 + 1x = 3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '44' to each side of the equation. -44 + 44 + 1x = 3 + 44 Combine like terms: -44 + 44 = 0 0 + 1x = 3 + 44 1x = 3 + 44 Combine like terms: 3 + 44 = 47 1x = 47 Divide each side by '1'. x = 47 Simplifying x = 47
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