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