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Simplifying 7(x + -1) = 10x + -5 Reorder the terms: 7(-1 + x) = 10x + -5 (-1 * 7 + x * 7) = 10x + -5 (-7 + 7x) = 10x + -5 Reorder the terms: -7 + 7x = -5 + 10x Solving -7 + 7x = -5 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -7 + 7x + -10x = -5 + 10x + -10x Combine like terms: 7x + -10x = -3x -7 + -3x = -5 + 10x + -10x Combine like terms: 10x + -10x = 0 -7 + -3x = -5 + 0 -7 + -3x = -5 Add '7' to each side of the equation. -7 + 7 + -3x = -5 + 7 Combine like terms: -7 + 7 = 0 0 + -3x = -5 + 7 -3x = -5 + 7 Combine like terms: -5 + 7 = 2 -3x = 2 Divide each side by '-3'. x = -0.6666666667 Simplifying x = -0.6666666667
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