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Simplifying 5x + -2(3x + 2) = 1 + -2(4x + 3) Reorder the terms: 5x + -2(2 + 3x) = 1 + -2(4x + 3) 5x + (2 * -2 + 3x * -2) = 1 + -2(4x + 3) 5x + (-4 + -6x) = 1 + -2(4x + 3) Reorder the terms: -4 + 5x + -6x = 1 + -2(4x + 3) Combine like terms: 5x + -6x = -1x -4 + -1x = 1 + -2(4x + 3) Reorder the terms: -4 + -1x = 1 + -2(3 + 4x) -4 + -1x = 1 + (3 * -2 + 4x * -2) -4 + -1x = 1 + (-6 + -8x) Combine like terms: 1 + -6 = -5 -4 + -1x = -5 + -8x Solving -4 + -1x = -5 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -4 + -1x + 8x = -5 + -8x + 8x Combine like terms: -1x + 8x = 7x -4 + 7x = -5 + -8x + 8x Combine like terms: -8x + 8x = 0 -4 + 7x = -5 + 0 -4 + 7x = -5 Add '4' to each side of the equation. -4 + 4 + 7x = -5 + 4 Combine like terms: -4 + 4 = 0 0 + 7x = -5 + 4 7x = -5 + 4 Combine like terms: -5 + 4 = -1 7x = -1 Divide each side by '7'. x = -0.1428571429 Simplifying x = -0.1428571429
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