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Simplifying 8x + -2(3x + 5) = -6x + 2(x + 2) Reorder the terms: 8x + -2(5 + 3x) = -6x + 2(x + 2) 8x + (5 * -2 + 3x * -2) = -6x + 2(x + 2) 8x + (-10 + -6x) = -6x + 2(x + 2) Reorder the terms: -10 + 8x + -6x = -6x + 2(x + 2) Combine like terms: 8x + -6x = 2x -10 + 2x = -6x + 2(x + 2) Reorder the terms: -10 + 2x = -6x + 2(2 + x) -10 + 2x = -6x + (2 * 2 + x * 2) -10 + 2x = -6x + (4 + 2x) Reorder the terms: -10 + 2x = 4 + -6x + 2x Combine like terms: -6x + 2x = -4x -10 + 2x = 4 + -4x Solving -10 + 2x = 4 + -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. -10 + 2x + 4x = 4 + -4x + 4x Combine like terms: 2x + 4x = 6x -10 + 6x = 4 + -4x + 4x Combine like terms: -4x + 4x = 0 -10 + 6x = 4 + 0 -10 + 6x = 4 Add '10' to each side of the equation. -10 + 10 + 6x = 4 + 10 Combine like terms: -10 + 10 = 0 0 + 6x = 4 + 10 6x = 4 + 10 Combine like terms: 4 + 10 = 14 6x = 14 Divide each side by '6'. x = 2.333333333 Simplifying x = 2.333333333
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