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Simplifying 5(x + -1) + 3x + 12 = -33 Reorder the terms: 5(-1 + x) + 3x + 12 = -33 (-1 * 5 + x * 5) + 3x + 12 = -33 (-5 + 5x) + 3x + 12 = -33 Reorder the terms: -5 + 12 + 5x + 3x = -33 Combine like terms: -5 + 12 = 7 7 + 5x + 3x = -33 Combine like terms: 5x + 3x = 8x 7 + 8x = -33 Solving 7 + 8x = -33 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 8x = -33 + -7 Combine like terms: 7 + -7 = 0 0 + 8x = -33 + -7 8x = -33 + -7 Combine like terms: -33 + -7 = -40 8x = -40 Divide each side by '8'. x = -5 Simplifying x = -5
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