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Simplifying 12 + -45 = 4(x + -3) + -9 Combine like terms: 12 + -45 = -33 -33 = 4(x + -3) + -9 Reorder the terms: -33 = 4(-3 + x) + -9 -33 = (-3 * 4 + x * 4) + -9 -33 = (-12 + 4x) + -9 Reorder the terms: -33 = -12 + -9 + 4x Combine like terms: -12 + -9 = -21 -33 = -21 + 4x Solving -33 = -21 + 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. -33 + -4x = -21 + 4x + -4x Combine like terms: 4x + -4x = 0 -33 + -4x = -21 + 0 -33 + -4x = -21 Add '33' to each side of the equation. -33 + 33 + -4x = -21 + 33 Combine like terms: -33 + 33 = 0 0 + -4x = -21 + 33 -4x = -21 + 33 Combine like terms: -21 + 33 = 12 -4x = 12 Divide each side by '-4'. x = -3 Simplifying x = -3
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