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Simplifying -4(x + 2) = 2x + 1 Reorder the terms: -4(2 + x) = 2x + 1 (2 * -4 + x * -4) = 2x + 1 (-8 + -4x) = 2x + 1 Reorder the terms: -8 + -4x = 1 + 2x Solving -8 + -4x = 1 + 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. -8 + -4x + -2x = 1 + 2x + -2x Combine like terms: -4x + -2x = -6x -8 + -6x = 1 + 2x + -2x Combine like terms: 2x + -2x = 0 -8 + -6x = 1 + 0 -8 + -6x = 1 Add '8' to each side of the equation. -8 + 8 + -6x = 1 + 8 Combine like terms: -8 + 8 = 0 0 + -6x = 1 + 8 -6x = 1 + 8 Combine like terms: 1 + 8 = 9 -6x = 9 Divide each side by '-6'. x = -1.5 Simplifying x = -1.5
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