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Simplifying 2x + 2 = -3(x + 11) Reorder the terms: 2 + 2x = -3(x + 11) Reorder the terms: 2 + 2x = -3(11 + x) 2 + 2x = (11 * -3 + x * -3) 2 + 2x = (-33 + -3x) Solving 2 + 2x = -33 + -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. 2 + 2x + 3x = -33 + -3x + 3x Combine like terms: 2x + 3x = 5x 2 + 5x = -33 + -3x + 3x Combine like terms: -3x + 3x = 0 2 + 5x = -33 + 0 2 + 5x = -33 Add '-2' to each side of the equation. 2 + -2 + 5x = -33 + -2 Combine like terms: 2 + -2 = 0 0 + 5x = -33 + -2 5x = -33 + -2 Combine like terms: -33 + -2 = -35 5x = -35 Divide each side by '5'. x = -7 Simplifying x = -7
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