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Simplifying 7 + 2(X + -7) = 8 + -8(X + -6) Reorder the terms: 7 + 2(-7 + X) = 8 + -8(X + -6) 7 + (-7 * 2 + X * 2) = 8 + -8(X + -6) 7 + (-14 + 2X) = 8 + -8(X + -6) Combine like terms: 7 + -14 = -7 -7 + 2X = 8 + -8(X + -6) Reorder the terms: -7 + 2X = 8 + -8(-6 + X) -7 + 2X = 8 + (-6 * -8 + X * -8) -7 + 2X = 8 + (48 + -8X) Combine like terms: 8 + 48 = 56 -7 + 2X = 56 + -8X Solving -7 + 2X = 56 + -8X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '8X' to each side of the equation. -7 + 2X + 8X = 56 + -8X + 8X Combine like terms: 2X + 8X = 10X -7 + 10X = 56 + -8X + 8X Combine like terms: -8X + 8X = 0 -7 + 10X = 56 + 0 -7 + 10X = 56 Add '7' to each side of the equation. -7 + 7 + 10X = 56 + 7 Combine like terms: -7 + 7 = 0 0 + 10X = 56 + 7 10X = 56 + 7 Combine like terms: 56 + 7 = 63 10X = 63 Divide each side by '10'. X = 6.3 Simplifying X = 6.3
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