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Simplifying 67 + -1(6x + 6) = 6(X + 4) + x Reorder the terms: 67 + -1(6 + 6x) = 6(X + 4) + x 67 + (6 * -1 + 6x * -1) = 6(X + 4) + x 67 + (-6 + -6x) = 6(X + 4) + x Combine like terms: 67 + -6 = 61 61 + -6x = 6(X + 4) + x Reorder the terms: 61 + -6x = 6(4 + X) + x 61 + -6x = (4 * 6 + X * 6) + x 61 + -6x = (24 + 6X) + x Solving 61 + -6x = 24 + 6X + 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. 61 + -6x + -1x = 24 + 6X + x + -1x Combine like terms: -6x + -1x = -7x 61 + -7x = 24 + 6X + x + -1x Combine like terms: x + -1x = 0 61 + -7x = 24 + 6X + 0 61 + -7x = 24 + 6X Add '-61' to each side of the equation. 61 + -61 + -7x = 24 + -61 + 6X Combine like terms: 61 + -61 = 0 0 + -7x = 24 + -61 + 6X -7x = 24 + -61 + 6X Combine like terms: 24 + -61 = -37 -7x = -37 + 6X Divide each side by '-7'. x = 5.285714286 + -0.8571428571X Simplifying x = 5.285714286 + -0.8571428571X
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