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Simplifying 9 + 2(4x + -2) = -2(6x + -5) + 5x Reorder the terms: 9 + 2(-2 + 4x) = -2(6x + -5) + 5x 9 + (-2 * 2 + 4x * 2) = -2(6x + -5) + 5x 9 + (-4 + 8x) = -2(6x + -5) + 5x Combine like terms: 9 + -4 = 5 5 + 8x = -2(6x + -5) + 5x Reorder the terms: 5 + 8x = -2(-5 + 6x) + 5x 5 + 8x = (-5 * -2 + 6x * -2) + 5x 5 + 8x = (10 + -12x) + 5x Combine like terms: -12x + 5x = -7x 5 + 8x = 10 + -7x Solving 5 + 8x = 10 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 5 + 8x + 7x = 10 + -7x + 7x Combine like terms: 8x + 7x = 15x 5 + 15x = 10 + -7x + 7x Combine like terms: -7x + 7x = 0 5 + 15x = 10 + 0 5 + 15x = 10 Add '-5' to each side of the equation. 5 + -5 + 15x = 10 + -5 Combine like terms: 5 + -5 = 0 0 + 15x = 10 + -5 15x = 10 + -5 Combine like terms: 10 + -5 = 5 15x = 5 Divide each side by '15'. x = 0.3333333333 Simplifying x = 0.3333333333
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