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Simplifying X + -1(4s + -7) = 5s + -1(s + 21) Reorder the terms: X + -1(-7 + 4s) = 5s + -1(s + 21) X + (-7 * -1 + 4s * -1) = 5s + -1(s + 21) X + (7 + -4s) = 5s + -1(s + 21) Reorder the terms: 7 + X + -4s = 5s + -1(s + 21) Reorder the terms: 7 + X + -4s = 5s + -1(21 + s) 7 + X + -4s = 5s + (21 * -1 + s * -1) 7 + X + -4s = 5s + (-21 + -1s) Reorder the terms: 7 + X + -4s = -21 + 5s + -1s Combine like terms: 5s + -1s = 4s 7 + X + -4s = -21 + 4s Solving 7 + X + -4s = -21 + 4s 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 + X + -7 + -4s = -21 + -7 + 4s Reorder the terms: 7 + -7 + X + -4s = -21 + -7 + 4s Combine like terms: 7 + -7 = 0 0 + X + -4s = -21 + -7 + 4s X + -4s = -21 + -7 + 4s Combine like terms: -21 + -7 = -28 X + -4s = -28 + 4s Add '4s' to each side of the equation. X + -4s + 4s = -28 + 4s + 4s Combine like terms: -4s + 4s = 0 X + 0 = -28 + 4s + 4s X = -28 + 4s + 4s Combine like terms: 4s + 4s = 8s X = -28 + 8s Simplifying X = -28 + 8s
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