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Simplifying 7 + -5(3 + -1x) = -3 + -1(2x + 4) 7 + (3 * -5 + -1x * -5) = -3 + -1(2x + 4) 7 + (-15 + 5x) = -3 + -1(2x + 4) Combine like terms: 7 + -15 = -8 -8 + 5x = -3 + -1(2x + 4) Reorder the terms: -8 + 5x = -3 + -1(4 + 2x) -8 + 5x = -3 + (4 * -1 + 2x * -1) -8 + 5x = -3 + (-4 + -2x) Combine like terms: -3 + -4 = -7 -8 + 5x = -7 + -2x Solving -8 + 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. -8 + 5x + 2x = -7 + -2x + 2x Combine like terms: 5x + 2x = 7x -8 + 7x = -7 + -2x + 2x Combine like terms: -2x + 2x = 0 -8 + 7x = -7 + 0 -8 + 7x = -7 Add '8' to each side of the equation. -8 + 8 + 7x = -7 + 8 Combine like terms: -8 + 8 = 0 0 + 7x = -7 + 8 7x = -7 + 8 Combine like terms: -7 + 8 = 1 7x = 1 Divide each side by '7'. x = 0.1428571429 Simplifying x = 0.1428571429
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