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Simplifying 5x + -3(x + -7) = 4 + -1(x + 7) Reorder the terms: 5x + -3(-7 + x) = 4 + -1(x + 7) 5x + (-7 * -3 + x * -3) = 4 + -1(x + 7) 5x + (21 + -3x) = 4 + -1(x + 7) Reorder the terms: 21 + 5x + -3x = 4 + -1(x + 7) Combine like terms: 5x + -3x = 2x 21 + 2x = 4 + -1(x + 7) Reorder the terms: 21 + 2x = 4 + -1(7 + x) 21 + 2x = 4 + (7 * -1 + x * -1) 21 + 2x = 4 + (-7 + -1x) Combine like terms: 4 + -7 = -3 21 + 2x = -3 + -1x Solving 21 + 2x = -3 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 21 + 2x + x = -3 + -1x + x Combine like terms: 2x + x = 3x 21 + 3x = -3 + -1x + x Combine like terms: -1x + x = 0 21 + 3x = -3 + 0 21 + 3x = -3 Add '-21' to each side of the equation. 21 + -21 + 3x = -3 + -21 Combine like terms: 21 + -21 = 0 0 + 3x = -3 + -21 3x = -3 + -21 Combine like terms: -3 + -21 = -24 3x = -24 Divide each side by '3'. x = -8 Simplifying x = -8
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