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Simplifying 3 + -5(x + 1) = 2x + 12 Reorder the terms: 3 + -5(1 + x) = 2x + 12 3 + (1 * -5 + x * -5) = 2x + 12 3 + (-5 + -5x) = 2x + 12 Combine like terms: 3 + -5 = -2 -2 + -5x = 2x + 12 Reorder the terms: -2 + -5x = 12 + 2x Solving -2 + -5x = 12 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -2 + -5x + -2x = 12 + 2x + -2x Combine like terms: -5x + -2x = -7x -2 + -7x = 12 + 2x + -2x Combine like terms: 2x + -2x = 0 -2 + -7x = 12 + 0 -2 + -7x = 12 Add '2' to each side of the equation. -2 + 2 + -7x = 12 + 2 Combine like terms: -2 + 2 = 0 0 + -7x = 12 + 2 -7x = 12 + 2 Combine like terms: 12 + 2 = 14 -7x = 14 Divide each side by '-7'. x = -2 Simplifying x = -2
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