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Simplifying 7(x + -7) + 24 = 3(x + -7) Reorder the terms: 7(-7 + x) + 24 = 3(x + -7) (-7 * 7 + x * 7) + 24 = 3(x + -7) (-49 + 7x) + 24 = 3(x + -7) Reorder the terms: -49 + 24 + 7x = 3(x + -7) Combine like terms: -49 + 24 = -25 -25 + 7x = 3(x + -7) Reorder the terms: -25 + 7x = 3(-7 + x) -25 + 7x = (-7 * 3 + x * 3) -25 + 7x = (-21 + 3x) Solving -25 + 7x = -21 + 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. -25 + 7x + -3x = -21 + 3x + -3x Combine like terms: 7x + -3x = 4x -25 + 4x = -21 + 3x + -3x Combine like terms: 3x + -3x = 0 -25 + 4x = -21 + 0 -25 + 4x = -21 Add '25' to each side of the equation. -25 + 25 + 4x = -21 + 25 Combine like terms: -25 + 25 = 0 0 + 4x = -21 + 25 4x = -21 + 25 Combine like terms: -21 + 25 = 4 4x = 4 Divide each side by '4'. x = 1 Simplifying x = 1
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