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Simplifying 12 + -4(2x + -7) = 3x + 7 Reorder the terms: 12 + -4(-7 + 2x) = 3x + 7 12 + (-7 * -4 + 2x * -4) = 3x + 7 12 + (28 + -8x) = 3x + 7 Combine like terms: 12 + 28 = 40 40 + -8x = 3x + 7 Reorder the terms: 40 + -8x = 7 + 3x Solving 40 + -8x = 7 + 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. 40 + -8x + -3x = 7 + 3x + -3x Combine like terms: -8x + -3x = -11x 40 + -11x = 7 + 3x + -3x Combine like terms: 3x + -3x = 0 40 + -11x = 7 + 0 40 + -11x = 7 Add '-40' to each side of the equation. 40 + -40 + -11x = 7 + -40 Combine like terms: 40 + -40 = 0 0 + -11x = 7 + -40 -11x = 7 + -40 Combine like terms: 7 + -40 = -33 -11x = -33 Divide each side by '-11'. x = 3 Simplifying x = 3
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