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Simplifying 3(x + -7) = 7(5x + 4) Reorder the terms: 3(-7 + x) = 7(5x + 4) (-7 * 3 + x * 3) = 7(5x + 4) (-21 + 3x) = 7(5x + 4) Reorder the terms: -21 + 3x = 7(4 + 5x) -21 + 3x = (4 * 7 + 5x * 7) -21 + 3x = (28 + 35x) Solving -21 + 3x = 28 + 35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35x' to each side of the equation. -21 + 3x + -35x = 28 + 35x + -35x Combine like terms: 3x + -35x = -32x -21 + -32x = 28 + 35x + -35x Combine like terms: 35x + -35x = 0 -21 + -32x = 28 + 0 -21 + -32x = 28 Add '21' to each side of the equation. -21 + 21 + -32x = 28 + 21 Combine like terms: -21 + 21 = 0 0 + -32x = 28 + 21 -32x = 28 + 21 Combine like terms: 28 + 21 = 49 -32x = 49 Divide each side by '-32'. x = -1.53125 Simplifying x = -1.53125
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