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Simplifying -6(x + -2) = x + 49 Reorder the terms: -6(-2 + x) = x + 49 (-2 * -6 + x * -6) = x + 49 (12 + -6x) = x + 49 Reorder the terms: 12 + -6x = 49 + x Solving 12 + -6x = 49 + 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. 12 + -6x + -1x = 49 + x + -1x Combine like terms: -6x + -1x = -7x 12 + -7x = 49 + x + -1x Combine like terms: x + -1x = 0 12 + -7x = 49 + 0 12 + -7x = 49 Add '-12' to each side of the equation. 12 + -12 + -7x = 49 + -12 Combine like terms: 12 + -12 = 0 0 + -7x = 49 + -12 -7x = 49 + -12 Combine like terms: 49 + -12 = 37 -7x = 37 Divide each side by '-7'. x = -5.285714286 Simplifying x = -5.285714286
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