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Simplifying -4(x + 2) = 2x + -2 + 2(2x + 1) Reorder the terms: -4(2 + x) = 2x + -2 + 2(2x + 1) (2 * -4 + x * -4) = 2x + -2 + 2(2x + 1) (-8 + -4x) = 2x + -2 + 2(2x + 1) Reorder the terms: -8 + -4x = 2x + -2 + 2(1 + 2x) -8 + -4x = 2x + -2 + (1 * 2 + 2x * 2) -8 + -4x = 2x + -2 + (2 + 4x) Reorder the terms: -8 + -4x = -2 + 2 + 2x + 4x Combine like terms: -2 + 2 = 0 -8 + -4x = 0 + 2x + 4x -8 + -4x = 2x + 4x Combine like terms: 2x + 4x = 6x -8 + -4x = 6x Solving -8 + -4x = 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. -8 + -4x + -6x = 6x + -6x Combine like terms: -4x + -6x = -10x -8 + -10x = 6x + -6x Combine like terms: 6x + -6x = 0 -8 + -10x = 0 Add '8' to each side of the equation. -8 + 8 + -10x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -10x = 0 + 8 -10x = 0 + 8 Combine like terms: 0 + 8 = 8 -10x = 8 Divide each side by '-10'. x = -0.8 Simplifying x = -0.8
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