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Simplifying 4x + -5 = -2(2x + 1) Reorder the terms: -5 + 4x = -2(2x + 1) Reorder the terms: -5 + 4x = -2(1 + 2x) -5 + 4x = (1 * -2 + 2x * -2) -5 + 4x = (-2 + -4x) Solving -5 + 4x = -2 + -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. -5 + 4x + 4x = -2 + -4x + 4x Combine like terms: 4x + 4x = 8x -5 + 8x = -2 + -4x + 4x Combine like terms: -4x + 4x = 0 -5 + 8x = -2 + 0 -5 + 8x = -2 Add '5' to each side of the equation. -5 + 5 + 8x = -2 + 5 Combine like terms: -5 + 5 = 0 0 + 8x = -2 + 5 8x = -2 + 5 Combine like terms: -2 + 5 = 3 8x = 3 Divide each side by '8'. x = 0.375 Simplifying x = 0.375
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