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Simplifying 3(3x + -1) + -4 = 7x + 1 Reorder the terms: 3(-1 + 3x) + -4 = 7x + 1 (-1 * 3 + 3x * 3) + -4 = 7x + 1 (-3 + 9x) + -4 = 7x + 1 Reorder the terms: -3 + -4 + 9x = 7x + 1 Combine like terms: -3 + -4 = -7 -7 + 9x = 7x + 1 Reorder the terms: -7 + 9x = 1 + 7x Solving -7 + 9x = 1 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -7 + 9x + -7x = 1 + 7x + -7x Combine like terms: 9x + -7x = 2x -7 + 2x = 1 + 7x + -7x Combine like terms: 7x + -7x = 0 -7 + 2x = 1 + 0 -7 + 2x = 1 Add '7' to each side of the equation. -7 + 7 + 2x = 1 + 7 Combine like terms: -7 + 7 = 0 0 + 2x = 1 + 7 2x = 1 + 7 Combine like terms: 1 + 7 = 8 2x = 8 Divide each side by '2'. x = 4 Simplifying x = 4
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