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Simplifying 2x + 1 + -4(x + 1) = 6x + 2 Reorder the terms: 2x + 1 + -4(1 + x) = 6x + 2 2x + 1 + (1 * -4 + x * -4) = 6x + 2 2x + 1 + (-4 + -4x) = 6x + 2 Reorder the terms: 1 + -4 + 2x + -4x = 6x + 2 Combine like terms: 1 + -4 = -3 -3 + 2x + -4x = 6x + 2 Combine like terms: 2x + -4x = -2x -3 + -2x = 6x + 2 Reorder the terms: -3 + -2x = 2 + 6x Solving -3 + -2x = 2 + 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. -3 + -2x + -6x = 2 + 6x + -6x Combine like terms: -2x + -6x = -8x -3 + -8x = 2 + 6x + -6x Combine like terms: 6x + -6x = 0 -3 + -8x = 2 + 0 -3 + -8x = 2 Add '3' to each side of the equation. -3 + 3 + -8x = 2 + 3 Combine like terms: -3 + 3 = 0 0 + -8x = 2 + 3 -8x = 2 + 3 Combine like terms: 2 + 3 = 5 -8x = 5 Divide each side by '-8'. x = -0.625 Simplifying x = -0.625
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