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Simplifying 7(x + -7) = 3(4x + -3) Reorder the terms: 7(-7 + x) = 3(4x + -3) (-7 * 7 + x * 7) = 3(4x + -3) (-49 + 7x) = 3(4x + -3) Reorder the terms: -49 + 7x = 3(-3 + 4x) -49 + 7x = (-3 * 3 + 4x * 3) -49 + 7x = (-9 + 12x) Solving -49 + 7x = -9 + 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. -49 + 7x + -12x = -9 + 12x + -12x Combine like terms: 7x + -12x = -5x -49 + -5x = -9 + 12x + -12x Combine like terms: 12x + -12x = 0 -49 + -5x = -9 + 0 -49 + -5x = -9 Add '49' to each side of the equation. -49 + 49 + -5x = -9 + 49 Combine like terms: -49 + 49 = 0 0 + -5x = -9 + 49 -5x = -9 + 49 Combine like terms: -9 + 49 = 40 -5x = 40 Divide each side by '-5'. x = -8 Simplifying x = -8
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