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Simplifying 6 + -4(2x + 5) = 7x + -2x + -3 Reorder the terms: 6 + -4(5 + 2x) = 7x + -2x + -3 6 + (5 * -4 + 2x * -4) = 7x + -2x + -3 6 + (-20 + -8x) = 7x + -2x + -3 Combine like terms: 6 + -20 = -14 -14 + -8x = 7x + -2x + -3 Reorder the terms: -14 + -8x = -3 + 7x + -2x Combine like terms: 7x + -2x = 5x -14 + -8x = -3 + 5x Solving -14 + -8x = -3 + 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. -14 + -8x + -5x = -3 + 5x + -5x Combine like terms: -8x + -5x = -13x -14 + -13x = -3 + 5x + -5x Combine like terms: 5x + -5x = 0 -14 + -13x = -3 + 0 -14 + -13x = -3 Add '14' to each side of the equation. -14 + 14 + -13x = -3 + 14 Combine like terms: -14 + 14 = 0 0 + -13x = -3 + 14 -13x = -3 + 14 Combine like terms: -3 + 14 = 11 -13x = 11 Divide each side by '-13'. x = -0.8461538462 Simplifying x = -0.8461538462
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