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Simplifying 3x + -1(4 + 5x) = 6x + -2 3x + (4 * -1 + 5x * -1) = 6x + -2 3x + (-4 + -5x) = 6x + -2 Reorder the terms: -4 + 3x + -5x = 6x + -2 Combine like terms: 3x + -5x = -2x -4 + -2x = 6x + -2 Reorder the terms: -4 + -2x = -2 + 6x Solving -4 + -2x = -2 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -4 + -2x + -6x = -2 + 6x + -6x Combine like terms: -2x + -6x = -8x -4 + -8x = -2 + 6x + -6x Combine like terms: 6x + -6x = 0 -4 + -8x = -2 + 0 -4 + -8x = -2 Add '4' to each side of the equation. -4 + 4 + -8x = -2 + 4 Combine like terms: -4 + 4 = 0 0 + -8x = -2 + 4 -8x = -2 + 4 Combine like terms: -2 + 4 = 2 -8x = 2 Divide each side by '-8'. x = -0.25 Simplifying x = -0.25
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