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Simplifying 5x + -7 = (x + -2) + 3 Reorder the terms: -7 + 5x = (x + -2) + 3 Reorder the terms: -7 + 5x = (-2 + x) + 3 Remove parenthesis around (-2 + x) -7 + 5x = -2 + x + 3 Reorder the terms: -7 + 5x = -2 + 3 + x Combine like terms: -2 + 3 = 1 -7 + 5x = 1 + x Solving -7 + 5x = 1 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -7 + 5x + -1x = 1 + x + -1x Combine like terms: 5x + -1x = 4x -7 + 4x = 1 + x + -1x Combine like terms: x + -1x = 0 -7 + 4x = 1 + 0 -7 + 4x = 1 Add '7' to each side of the equation. -7 + 7 + 4x = 1 + 7 Combine like terms: -7 + 7 = 0 0 + 4x = 1 + 7 4x = 1 + 7 Combine like terms: 1 + 7 = 8 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2
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