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