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Simplifying x + -1(3x + 1) * 3 = (2x + -1) * 3 Reorder the terms: x + -1(1 + 3x) * 3 = (2x + -1) * 3 Reorder the terms for easier multiplication: x + -1 * 3(1 + 3x) = (2x + -1) * 3 Multiply -1 * 3 x + -3(1 + 3x) = (2x + -1) * 3 x + (1 * -3 + 3x * -3) = (2x + -1) * 3 x + (-3 + -9x) = (2x + -1) * 3 Reorder the terms: -3 + x + -9x = (2x + -1) * 3 Combine like terms: x + -9x = -8x -3 + -8x = (2x + -1) * 3 Reorder the terms: -3 + -8x = (-1 + 2x) * 3 Reorder the terms for easier multiplication: -3 + -8x = 3(-1 + 2x) -3 + -8x = (-1 * 3 + 2x * 3) -3 + -8x = (-3 + 6x) Add '3' to each side of the equation. -3 + 3 + -8x = -3 + 3 + 6x Combine like terms: -3 + 3 = 0 0 + -8x = -3 + 3 + 6x -8x = -3 + 3 + 6x Combine like terms: -3 + 3 = 0 -8x = 0 + 6x -8x = 6x Solving -8x = 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -8x + -6x = 6x + -6x Combine like terms: -8x + -6x = -14x -14x = 6x + -6x Combine like terms: 6x + -6x = 0 -14x = 0 Divide each side by '-14'. x = 0 Simplifying x = 0
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