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