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Simplifying 4(2x + 5) + -4 = 2x + -5(x + -2) Reorder the terms: 4(5 + 2x) + -4 = 2x + -5(x + -2) (5 * 4 + 2x * 4) + -4 = 2x + -5(x + -2) (20 + 8x) + -4 = 2x + -5(x + -2) Reorder the terms: 20 + -4 + 8x = 2x + -5(x + -2) Combine like terms: 20 + -4 = 16 16 + 8x = 2x + -5(x + -2) Reorder the terms: 16 + 8x = 2x + -5(-2 + x) 16 + 8x = 2x + (-2 * -5 + x * -5) 16 + 8x = 2x + (10 + -5x) Reorder the terms: 16 + 8x = 10 + 2x + -5x Combine like terms: 2x + -5x = -3x 16 + 8x = 10 + -3x Solving 16 + 8x = 10 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 16 + 8x + 3x = 10 + -3x + 3x Combine like terms: 8x + 3x = 11x 16 + 11x = 10 + -3x + 3x Combine like terms: -3x + 3x = 0 16 + 11x = 10 + 0 16 + 11x = 10 Add '-16' to each side of the equation. 16 + -16 + 11x = 10 + -16 Combine like terms: 16 + -16 = 0 0 + 11x = 10 + -16 11x = 10 + -16 Combine like terms: 10 + -16 = -6 11x = -6 Divide each side by '11'. x = -0.5454545455 Simplifying x = -0.5454545455
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