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Simplifying 5x + -7(x + 3) = -2 + 12 Reorder the terms: 5x + -7(3 + x) = -2 + 12 5x + (3 * -7 + x * -7) = -2 + 12 5x + (-21 + -7x) = -2 + 12 Reorder the terms: -21 + 5x + -7x = -2 + 12 Combine like terms: 5x + -7x = -2x -21 + -2x = -2 + 12 Combine like terms: -2 + 12 = 10 -21 + -2x = 10 Solving -21 + -2x = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + -2x = 10 + 21 Combine like terms: -21 + 21 = 0 0 + -2x = 10 + 21 -2x = 10 + 21 Combine like terms: 10 + 21 = 31 -2x = 31 Divide each side by '-2'. x = -15.5 Simplifying x = -15.5
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