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Simplifying 8 + 2x + -2(2 + 3x) = 4 + 5x + (4 + -3) 8 + 2x + (2 * -2 + 3x * -2) = 4 + 5x + (4 + -3) 8 + 2x + (-4 + -6x) = 4 + 5x + (4 + -3) Reorder the terms: 8 + -4 + 2x + -6x = 4 + 5x + (4 + -3) Combine like terms: 8 + -4 = 4 4 + 2x + -6x = 4 + 5x + (4 + -3) Combine like terms: 2x + -6x = -4x 4 + -4x = 4 + 5x + (4 + -3) Combine like terms: 4 + -3 = 1 4 + -4x = 4 + 5x + (1) 4 + -4x = 4 + 5x + 1 Reorder the terms: 4 + -4x = 4 + 1 + 5x Combine like terms: 4 + 1 = 5 4 + -4x = 5 + 5x Solving 4 + -4x = 5 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 4 + -4x + -5x = 5 + 5x + -5x Combine like terms: -4x + -5x = -9x 4 + -9x = 5 + 5x + -5x Combine like terms: 5x + -5x = 0 4 + -9x = 5 + 0 4 + -9x = 5 Add '-4' to each side of the equation. 4 + -4 + -9x = 5 + -4 Combine like terms: 4 + -4 = 0 0 + -9x = 5 + -4 -9x = 5 + -4 Combine like terms: 5 + -4 = 1 -9x = 1 Divide each side by '-9'. x = -0.1111111111 Simplifying x = -0.1111111111
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