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Simplifying -3(x + -7) = 1 + -1(-7x + 3) Reorder the terms: -3(-7 + x) = 1 + -1(-7x + 3) (-7 * -3 + x * -3) = 1 + -1(-7x + 3) (21 + -3x) = 1 + -1(-7x + 3) Reorder the terms: 21 + -3x = 1 + -1(3 + -7x) 21 + -3x = 1 + (3 * -1 + -7x * -1) 21 + -3x = 1 + (-3 + 7x) Combine like terms: 1 + -3 = -2 21 + -3x = -2 + 7x Solving 21 + -3x = -2 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 21 + -3x + -7x = -2 + 7x + -7x Combine like terms: -3x + -7x = -10x 21 + -10x = -2 + 7x + -7x Combine like terms: 7x + -7x = 0 21 + -10x = -2 + 0 21 + -10x = -2 Add '-21' to each side of the equation. 21 + -21 + -10x = -2 + -21 Combine like terms: 21 + -21 = 0 0 + -10x = -2 + -21 -10x = -2 + -21 Combine like terms: -2 + -21 = -23 -10x = -23 Divide each side by '-10'. x = 2.3 Simplifying x = 2.3
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