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Simplifying 7x + -1(4 + 3x) = 5 + -3(x + -2) 7x + (4 * -1 + 3x * -1) = 5 + -3(x + -2) 7x + (-4 + -3x) = 5 + -3(x + -2) Reorder the terms: -4 + 7x + -3x = 5 + -3(x + -2) Combine like terms: 7x + -3x = 4x -4 + 4x = 5 + -3(x + -2) Reorder the terms: -4 + 4x = 5 + -3(-2 + x) -4 + 4x = 5 + (-2 * -3 + x * -3) -4 + 4x = 5 + (6 + -3x) Combine like terms: 5 + 6 = 11 -4 + 4x = 11 + -3x Solving -4 + 4x = 11 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -4 + 4x + 3x = 11 + -3x + 3x Combine like terms: 4x + 3x = 7x -4 + 7x = 11 + -3x + 3x Combine like terms: -3x + 3x = 0 -4 + 7x = 11 + 0 -4 + 7x = 11 Add '4' to each side of the equation. -4 + 4 + 7x = 11 + 4 Combine like terms: -4 + 4 = 0 0 + 7x = 11 + 4 7x = 11 + 4 Combine like terms: 11 + 4 = 15 7x = 15 Divide each side by '7'. x = 2.142857143 Simplifying x = 2.142857143
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