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Simplifying 5x + -7(x + 3) = 2x + -12 Reorder the terms: 5x + -7(3 + x) = 2x + -12 5x + (3 * -7 + x * -7) = 2x + -12 5x + (-21 + -7x) = 2x + -12 Reorder the terms: -21 + 5x + -7x = 2x + -12 Combine like terms: 5x + -7x = -2x -21 + -2x = 2x + -12 Reorder the terms: -21 + -2x = -12 + 2x Solving -21 + -2x = -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. -21 + -2x + -2x = -12 + 2x + -2x Combine like terms: -2x + -2x = -4x -21 + -4x = -12 + 2x + -2x Combine like terms: 2x + -2x = 0 -21 + -4x = -12 + 0 -21 + -4x = -12 Add '21' to each side of the equation. -21 + 21 + -4x = -12 + 21 Combine like terms: -21 + 21 = 0 0 + -4x = -12 + 21 -4x = -12 + 21 Combine like terms: -12 + 21 = 9 -4x = 9 Divide each side by '-4'. x = -2.25 Simplifying x = -2.25
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