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Simplifying 12 + -3(5 + -1x) = 4(x + -9) 12 + (5 * -3 + -1x * -3) = 4(x + -9) 12 + (-15 + 3x) = 4(x + -9) Combine like terms: 12 + -15 = -3 -3 + 3x = 4(x + -9) Reorder the terms: -3 + 3x = 4(-9 + x) -3 + 3x = (-9 * 4 + x * 4) -3 + 3x = (-36 + 4x) Solving -3 + 3x = -36 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -3 + 3x + -4x = -36 + 4x + -4x Combine like terms: 3x + -4x = -1x -3 + -1x = -36 + 4x + -4x Combine like terms: 4x + -4x = 0 -3 + -1x = -36 + 0 -3 + -1x = -36 Add '3' to each side of the equation. -3 + 3 + -1x = -36 + 3 Combine like terms: -3 + 3 = 0 0 + -1x = -36 + 3 -1x = -36 + 3 Combine like terms: -36 + 3 = -33 -1x = -33 Divide each side by '-1'. x = 33 Simplifying x = 33
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