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Simplifying 15x + -20 = 6x + -1(x + 2) + (3x + -6) Reorder the terms: -20 + 15x = 6x + -1(x + 2) + (3x + -6) Reorder the terms: -20 + 15x = 6x + -1(2 + x) + (3x + -6) -20 + 15x = 6x + (2 * -1 + x * -1) + (3x + -6) -20 + 15x = 6x + (-2 + -1x) + (3x + -6) Reorder the terms: -20 + 15x = 6x + -2 + -1x + (-6 + 3x) Remove parenthesis around (-6 + 3x) -20 + 15x = 6x + -2 + -1x + -6 + 3x Reorder the terms: -20 + 15x = -2 + -6 + 6x + -1x + 3x Combine like terms: -2 + -6 = -8 -20 + 15x = -8 + 6x + -1x + 3x Combine like terms: 6x + -1x = 5x -20 + 15x = -8 + 5x + 3x Combine like terms: 5x + 3x = 8x -20 + 15x = -8 + 8x Solving -20 + 15x = -8 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -20 + 15x + -8x = -8 + 8x + -8x Combine like terms: 15x + -8x = 7x -20 + 7x = -8 + 8x + -8x Combine like terms: 8x + -8x = 0 -20 + 7x = -8 + 0 -20 + 7x = -8 Add '20' to each side of the equation. -20 + 20 + 7x = -8 + 20 Combine like terms: -20 + 20 = 0 0 + 7x = -8 + 20 7x = -8 + 20 Combine like terms: -8 + 20 = 12 7x = 12 Divide each side by '7'. x = 1.714285714 Simplifying x = 1.714285714
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