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Simplifying 4x + -3(1 + -1x) = 3x + 5(1 + -1x) 4x + (1 * -3 + -1x * -3) = 3x + 5(1 + -1x) 4x + (-3 + 3x) = 3x + 5(1 + -1x) Reorder the terms: -3 + 4x + 3x = 3x + 5(1 + -1x) Combine like terms: 4x + 3x = 7x -3 + 7x = 3x + 5(1 + -1x) -3 + 7x = 3x + (1 * 5 + -1x * 5) -3 + 7x = 3x + (5 + -5x) Reorder the terms: -3 + 7x = 5 + 3x + -5x Combine like terms: 3x + -5x = -2x -3 + 7x = 5 + -2x Solving -3 + 7x = 5 + -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. -3 + 7x + 2x = 5 + -2x + 2x Combine like terms: 7x + 2x = 9x -3 + 9x = 5 + -2x + 2x Combine like terms: -2x + 2x = 0 -3 + 9x = 5 + 0 -3 + 9x = 5 Add '3' to each side of the equation. -3 + 3 + 9x = 5 + 3 Combine like terms: -3 + 3 = 0 0 + 9x = 5 + 3 9x = 5 + 3 Combine like terms: 5 + 3 = 8 9x = 8 Divide each side by '9'. x = 0.8888888889 Simplifying x = 0.8888888889
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