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Simplifying 7x + -3 = 5 + 6 + -1(4x + 3) Reorder the terms: -3 + 7x = 5 + 6 + -1(4x + 3) Reorder the terms: -3 + 7x = 5 + 6 + -1(3 + 4x) -3 + 7x = 5 + 6 + (3 * -1 + 4x * -1) -3 + 7x = 5 + 6 + (-3 + -4x) Combine like terms: 5 + 6 = 11 -3 + 7x = 11 + -3 + -4x Combine like terms: 11 + -3 = 8 -3 + 7x = 8 + -4x Solving -3 + 7x = 8 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -3 + 7x + 4x = 8 + -4x + 4x Combine like terms: 7x + 4x = 11x -3 + 11x = 8 + -4x + 4x Combine like terms: -4x + 4x = 0 -3 + 11x = 8 + 0 -3 + 11x = 8 Add '3' to each side of the equation. -3 + 3 + 11x = 8 + 3 Combine like terms: -3 + 3 = 0 0 + 11x = 8 + 3 11x = 8 + 3 Combine like terms: 8 + 3 = 11 11x = 11 Divide each side by '11'. x = 1 Simplifying x = 1
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