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Simplifying -1x + -1(-7 + -3x) = -5x + 42 + 3 + -1(-5x) -1x + (-7 * -1 + -3x * -1) = -5x + 42 + 3 + -1(-5x) -1x + (7 + 3x) = -5x + 42 + 3 + -1(-5x) Reorder the terms: 7 + -1x + 3x = -5x + 42 + 3 + -1(-5x) Combine like terms: -1x + 3x = 2x 7 + 2x = -5x + 42 + 3 + -1(-5x) Remove parenthesis around (-5x) 7 + 2x = -5x + 42 + 3 + -1 * -5x Multiply -1 * -5 7 + 2x = -5x + 42 + 3 + 5x Reorder the terms: 7 + 2x = 42 + 3 + -5x + 5x Combine like terms: 42 + 3 = 45 7 + 2x = 45 + -5x + 5x Combine like terms: -5x + 5x = 0 7 + 2x = 45 + 0 7 + 2x = 45 Solving 7 + 2x = 45 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 2x = 45 + -7 Combine like terms: 7 + -7 = 0 0 + 2x = 45 + -7 2x = 45 + -7 Combine like terms: 45 + -7 = 38 2x = 38 Divide each side by '2'. x = 19 Simplifying x = 19
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