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