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Simplifying 7(x + -7) + 8 = 3(x + -7) Reorder the terms: 7(-7 + x) + 8 = 3(x + -7) (-7 * 7 + x * 7) + 8 = 3(x + -7) (-49 + 7x) + 8 = 3(x + -7) Reorder the terms: -49 + 8 + 7x = 3(x + -7) Combine like terms: -49 + 8 = -41 -41 + 7x = 3(x + -7) Reorder the terms: -41 + 7x = 3(-7 + x) -41 + 7x = (-7 * 3 + x * 3) -41 + 7x = (-21 + 3x) Solving -41 + 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. -41 + 7x + -3x = -21 + 3x + -3x Combine like terms: 7x + -3x = 4x -41 + 4x = -21 + 3x + -3x Combine like terms: 3x + -3x = 0 -41 + 4x = -21 + 0 -41 + 4x = -21 Add '41' to each side of the equation. -41 + 41 + 4x = -21 + 41 Combine like terms: -41 + 41 = 0 0 + 4x = -21 + 41 4x = -21 + 41 Combine like terms: -21 + 41 = 20 4x = 20 Divide each side by '4'. x = 5 Simplifying x = 5
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