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Simplifying 5 + -6(x + 2) = 7 + x Reorder the terms: 5 + -6(2 + x) = 7 + x 5 + (2 * -6 + x * -6) = 7 + x 5 + (-12 + -6x) = 7 + x Combine like terms: 5 + -12 = -7 -7 + -6x = 7 + x Solving -7 + -6x = 7 + 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. -7 + -6x + -1x = 7 + x + -1x Combine like terms: -6x + -1x = -7x -7 + -7x = 7 + x + -1x Combine like terms: x + -1x = 0 -7 + -7x = 7 + 0 -7 + -7x = 7 Add '7' to each side of the equation. -7 + 7 + -7x = 7 + 7 Combine like terms: -7 + 7 = 0 0 + -7x = 7 + 7 -7x = 7 + 7 Combine like terms: 7 + 7 = 14 -7x = 14 Divide each side by '-7'. x = -2 Simplifying x = -2
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