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Simplifying 4x + -2(1 + X) = 3(2x + 1) + -5 4x + (1 * -2 + X * -2) = 3(2x + 1) + -5 4x + (-2 + -2X) = 3(2x + 1) + -5 Reorder the terms: -2 + -2X + 4x = 3(2x + 1) + -5 Reorder the terms: -2 + -2X + 4x = 3(1 + 2x) + -5 -2 + -2X + 4x = (1 * 3 + 2x * 3) + -5 -2 + -2X + 4x = (3 + 6x) + -5 Reorder the terms: -2 + -2X + 4x = 3 + -5 + 6x Combine like terms: 3 + -5 = -2 -2 + -2X + 4x = -2 + 6x Add '2' to each side of the equation. -2 + -2X + 2 + 4x = -2 + 2 + 6x Reorder the terms: -2 + 2 + -2X + 4x = -2 + 2 + 6x Combine like terms: -2 + 2 = 0 0 + -2X + 4x = -2 + 2 + 6x -2X + 4x = -2 + 2 + 6x Combine like terms: -2 + 2 = 0 -2X + 4x = 0 + 6x -2X + 4x = 6x Solving -2X + 4x = 6x 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. -2X + 4x + -4x = 6x + -4x Combine like terms: 4x + -4x = 0 -2X + 0 = 6x + -4x -2X = 6x + -4x Combine like terms: 6x + -4x = 2x -2X = 2x Divide each side by '-2'. X = -1x Simplifying X = -1x
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