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Simplifying 12 + -5(x + 3) = 3x + -2 Reorder the terms: 12 + -5(3 + x) = 3x + -2 12 + (3 * -5 + x * -5) = 3x + -2 12 + (-15 + -5x) = 3x + -2 Combine like terms: 12 + -15 = -3 -3 + -5x = 3x + -2 Reorder the terms: -3 + -5x = -2 + 3x Solving -3 + -5x = -2 + 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. -3 + -5x + -3x = -2 + 3x + -3x Combine like terms: -5x + -3x = -8x -3 + -8x = -2 + 3x + -3x Combine like terms: 3x + -3x = 0 -3 + -8x = -2 + 0 -3 + -8x = -2 Add '3' to each side of the equation. -3 + 3 + -8x = -2 + 3 Combine like terms: -3 + 3 = 0 0 + -8x = -2 + 3 -8x = -2 + 3 Combine like terms: -2 + 3 = 1 -8x = 1 Divide each side by '-8'. x = -0.125 Simplifying x = -0.125
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