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