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Simplifying 3x + -5(x + 2) = 12x + 4 Reorder the terms: 3x + -5(2 + x) = 12x + 4 3x + (2 * -5 + x * -5) = 12x + 4 3x + (-10 + -5x) = 12x + 4 Reorder the terms: -10 + 3x + -5x = 12x + 4 Combine like terms: 3x + -5x = -2x -10 + -2x = 12x + 4 Reorder the terms: -10 + -2x = 4 + 12x Solving -10 + -2x = 4 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -10 + -2x + -12x = 4 + 12x + -12x Combine like terms: -2x + -12x = -14x -10 + -14x = 4 + 12x + -12x Combine like terms: 12x + -12x = 0 -10 + -14x = 4 + 0 -10 + -14x = 4 Add '10' to each side of the equation. -10 + 10 + -14x = 4 + 10 Combine like terms: -10 + 10 = 0 0 + -14x = 4 + 10 -14x = 4 + 10 Combine like terms: 4 + 10 = 14 -14x = 14 Divide each side by '-14'. x = -1 Simplifying x = -1
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