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Simplifying -7 + -5(2 + -1x) + 5 = 2x + -7 -7 + (2 * -5 + -1x * -5) + 5 = 2x + -7 -7 + (-10 + 5x) + 5 = 2x + -7 Reorder the terms: -7 + -10 + 5 + 5x = 2x + -7 Combine like terms: -7 + -10 = -17 -17 + 5 + 5x = 2x + -7 Combine like terms: -17 + 5 = -12 -12 + 5x = 2x + -7 Reorder the terms: -12 + 5x = -7 + 2x Solving -12 + 5x = -7 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -12 + 5x + -2x = -7 + 2x + -2x Combine like terms: 5x + -2x = 3x -12 + 3x = -7 + 2x + -2x Combine like terms: 2x + -2x = 0 -12 + 3x = -7 + 0 -12 + 3x = -7 Add '12' to each side of the equation. -12 + 12 + 3x = -7 + 12 Combine like terms: -12 + 12 = 0 0 + 3x = -7 + 12 3x = -7 + 12 Combine like terms: -7 + 12 = 5 3x = 5 Divide each side by '3'. x = 1.666666667 Simplifying x = 1.666666667
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