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Simplifying -2(3 + -4x) + 5x = 6x + -2(4 + x) (3 * -2 + -4x * -2) + 5x = 6x + -2(4 + x) (-6 + 8x) + 5x = 6x + -2(4 + x) Combine like terms: 8x + 5x = 13x -6 + 13x = 6x + -2(4 + x) -6 + 13x = 6x + (4 * -2 + x * -2) -6 + 13x = 6x + (-8 + -2x) Reorder the terms: -6 + 13x = -8 + 6x + -2x Combine like terms: 6x + -2x = 4x -6 + 13x = -8 + 4x Solving -6 + 13x = -8 + 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. -6 + 13x + -4x = -8 + 4x + -4x Combine like terms: 13x + -4x = 9x -6 + 9x = -8 + 4x + -4x Combine like terms: 4x + -4x = 0 -6 + 9x = -8 + 0 -6 + 9x = -8 Add '6' to each side of the equation. -6 + 6 + 9x = -8 + 6 Combine like terms: -6 + 6 = 0 0 + 9x = -8 + 6 9x = -8 + 6 Combine like terms: -8 + 6 = -2 9x = -2 Divide each side by '9'. x = -0.2222222222 Simplifying x = -0.2222222222
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