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