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Simplifying -4(x + 3) + -9 = 3x + 12 Reorder the terms: -4(3 + x) + -9 = 3x + 12 (3 * -4 + x * -4) + -9 = 3x + 12 (-12 + -4x) + -9 = 3x + 12 Reorder the terms: -12 + -9 + -4x = 3x + 12 Combine like terms: -12 + -9 = -21 -21 + -4x = 3x + 12 Reorder the terms: -21 + -4x = 12 + 3x Solving -21 + -4x = 12 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -21 + -4x + -3x = 12 + 3x + -3x Combine like terms: -4x + -3x = -7x -21 + -7x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 -21 + -7x = 12 + 0 -21 + -7x = 12 Add '21' to each side of the equation. -21 + 21 + -7x = 12 + 21 Combine like terms: -21 + 21 = 0 0 + -7x = 12 + 21 -7x = 12 + 21 Combine like terms: 12 + 21 = 33 -7x = 33 Divide each side by '-7'. x = -4.714285714 Simplifying x = -4.714285714
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