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Simplifying 7(x + -2) = 3(x + -7) Reorder the terms: 7(-2 + x) = 3(x + -7) (-2 * 7 + x * 7) = 3(x + -7) (-14 + 7x) = 3(x + -7) Reorder the terms: -14 + 7x = 3(-7 + x) -14 + 7x = (-7 * 3 + x * 3) -14 + 7x = (-21 + 3x) Solving -14 + 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. -14 + 7x + -3x = -21 + 3x + -3x Combine like terms: 7x + -3x = 4x -14 + 4x = -21 + 3x + -3x Combine like terms: 3x + -3x = 0 -14 + 4x = -21 + 0 -14 + 4x = -21 Add '14' to each side of the equation. -14 + 14 + 4x = -21 + 14 Combine like terms: -14 + 14 = 0 0 + 4x = -21 + 14 4x = -21 + 14 Combine like terms: -21 + 14 = -7 4x = -7 Divide each side by '4'. x = -1.75 Simplifying x = -1.75
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