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Simplifying 4x + -6(X + 7) = X + 6 Reorder the terms: 4x + -6(7 + X) = X + 6 4x + (7 * -6 + X * -6) = X + 6 4x + (-42 + -6X) = X + 6 Reorder the terms: -42 + -6X + 4x = X + 6 Reorder the terms: -42 + -6X + 4x = 6 + X Solving -42 + -6X + 4x = 6 + X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-1X' to each side of the equation. -42 + -6X + -1X + 4x = 6 + X + -1X Combine like terms: -6X + -1X = -7X -42 + -7X + 4x = 6 + X + -1X Combine like terms: X + -1X = 0 -42 + -7X + 4x = 6 + 0 -42 + -7X + 4x = 6 Add '42' to each side of the equation. -42 + -7X + 42 + 4x = 6 + 42 Reorder the terms: -42 + 42 + -7X + 4x = 6 + 42 Combine like terms: -42 + 42 = 0 0 + -7X + 4x = 6 + 42 -7X + 4x = 6 + 42 Combine like terms: 6 + 42 = 48 -7X + 4x = 48 Add '-4x' to each side of the equation. -7X + 4x + -4x = 48 + -4x Combine like terms: 4x + -4x = 0 -7X + 0 = 48 + -4x -7X = 48 + -4x Divide each side by '-7'. X = -6.857142857 + 0.5714285714x Simplifying X = -6.857142857 + 0.5714285714x
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