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Simplifying 7(7x + -7) = 4(4x + -4) Reorder the terms: 7(-7 + 7x) = 4(4x + -4) (-7 * 7 + 7x * 7) = 4(4x + -4) (-49 + 49x) = 4(4x + -4) Reorder the terms: -49 + 49x = 4(-4 + 4x) -49 + 49x = (-4 * 4 + 4x * 4) -49 + 49x = (-16 + 16x) Solving -49 + 49x = -16 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -49 + 49x + -16x = -16 + 16x + -16x Combine like terms: 49x + -16x = 33x -49 + 33x = -16 + 16x + -16x Combine like terms: 16x + -16x = 0 -49 + 33x = -16 + 0 -49 + 33x = -16 Add '49' to each side of the equation. -49 + 49 + 33x = -16 + 49 Combine like terms: -49 + 49 = 0 0 + 33x = -16 + 49 33x = -16 + 49 Combine like terms: -16 + 49 = 33 33x = 33 Divide each side by '33'. x = 1 Simplifying x = 1
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