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