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Simplifying 7x + -5 = 2(5x + -5) Reorder the terms: -5 + 7x = 2(5x + -5) Reorder the terms: -5 + 7x = 2(-5 + 5x) -5 + 7x = (-5 * 2 + 5x * 2) -5 + 7x = (-10 + 10x) Solving -5 + 7x = -10 + 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. -5 + 7x + -10x = -10 + 10x + -10x Combine like terms: 7x + -10x = -3x -5 + -3x = -10 + 10x + -10x Combine like terms: 10x + -10x = 0 -5 + -3x = -10 + 0 -5 + -3x = -10 Add '5' to each side of the equation. -5 + 5 + -3x = -10 + 5 Combine like terms: -5 + 5 = 0 0 + -3x = -10 + 5 -3x = -10 + 5 Combine like terms: -10 + 5 = -5 -3x = -5 Divide each side by '-3'. x = 1.666666667 Simplifying x = 1.666666667
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