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Simplifying 5 + -6(2 + -1x) = 5x + -15 5 + (2 * -6 + -1x * -6) = 5x + -15 5 + (-12 + 6x) = 5x + -15 Combine like terms: 5 + -12 = -7 -7 + 6x = 5x + -15 Reorder the terms: -7 + 6x = -15 + 5x Solving -7 + 6x = -15 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -7 + 6x + -5x = -15 + 5x + -5x Combine like terms: 6x + -5x = 1x -7 + 1x = -15 + 5x + -5x Combine like terms: 5x + -5x = 0 -7 + 1x = -15 + 0 -7 + 1x = -15 Add '7' to each side of the equation. -7 + 7 + 1x = -15 + 7 Combine like terms: -7 + 7 = 0 0 + 1x = -15 + 7 1x = -15 + 7 Combine like terms: -15 + 7 = -8 1x = -8 Divide each side by '1'. x = -8 Simplifying x = -8
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