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Simplifying 4(x + 3) = -5x + -33 Reorder the terms: 4(3 + x) = -5x + -33 (3 * 4 + x * 4) = -5x + -33 (12 + 4x) = -5x + -33 Reorder the terms: 12 + 4x = -33 + -5x Solving 12 + 4x = -33 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 12 + 4x + 5x = -33 + -5x + 5x Combine like terms: 4x + 5x = 9x 12 + 9x = -33 + -5x + 5x Combine like terms: -5x + 5x = 0 12 + 9x = -33 + 0 12 + 9x = -33 Add '-12' to each side of the equation. 12 + -12 + 9x = -33 + -12 Combine like terms: 12 + -12 = 0 0 + 9x = -33 + -12 9x = -33 + -12 Combine like terms: -33 + -12 = -45 9x = -45 Divide each side by '9'. x = -5 Simplifying x = -5
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