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Simplifying 2x + -6 + -2(2x + 8) * 3 = 4x + 1 Reorder the terms: 2x + -6 + -2(8 + 2x) * 3 = 4x + 1 Reorder the terms for easier multiplication: 2x + -6 + -2 * 3(8 + 2x) = 4x + 1 Multiply -2 * 3 2x + -6 + -6(8 + 2x) = 4x + 1 2x + -6 + (8 * -6 + 2x * -6) = 4x + 1 2x + -6 + (-48 + -12x) = 4x + 1 Reorder the terms: -6 + -48 + 2x + -12x = 4x + 1 Combine like terms: -6 + -48 = -54 -54 + 2x + -12x = 4x + 1 Combine like terms: 2x + -12x = -10x -54 + -10x = 4x + 1 Reorder the terms: -54 + -10x = 1 + 4x Solving -54 + -10x = 1 + 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. -54 + -10x + -4x = 1 + 4x + -4x Combine like terms: -10x + -4x = -14x -54 + -14x = 1 + 4x + -4x Combine like terms: 4x + -4x = 0 -54 + -14x = 1 + 0 -54 + -14x = 1 Add '54' to each side of the equation. -54 + 54 + -14x = 1 + 54 Combine like terms: -54 + 54 = 0 0 + -14x = 1 + 54 -14x = 1 + 54 Combine like terms: 1 + 54 = 55 -14x = 55 Divide each side by '-14'. x = -3.928571429 Simplifying x = -3.928571429
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