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Simplifying 15x + -20 = 6x + -1(x + 2) + -1(x + 3) Reorder the terms: -20 + 15x = 6x + -1(x + 2) + -1(x + 3) Reorder the terms: -20 + 15x = 6x + -1(2 + x) + -1(x + 3) -20 + 15x = 6x + (2 * -1 + x * -1) + -1(x + 3) -20 + 15x = 6x + (-2 + -1x) + -1(x + 3) Reorder the terms: -20 + 15x = 6x + -2 + -1x + -1(3 + x) -20 + 15x = 6x + -2 + -1x + (3 * -1 + x * -1) -20 + 15x = 6x + -2 + -1x + (-3 + -1x) Reorder the terms: -20 + 15x = -2 + -3 + 6x + -1x + -1x Combine like terms: -2 + -3 = -5 -20 + 15x = -5 + 6x + -1x + -1x Combine like terms: 6x + -1x = 5x -20 + 15x = -5 + 5x + -1x Combine like terms: 5x + -1x = 4x -20 + 15x = -5 + 4x Solving -20 + 15x = -5 + 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. -20 + 15x + -4x = -5 + 4x + -4x Combine like terms: 15x + -4x = 11x -20 + 11x = -5 + 4x + -4x Combine like terms: 4x + -4x = 0 -20 + 11x = -5 + 0 -20 + 11x = -5 Add '20' to each side of the equation. -20 + 20 + 11x = -5 + 20 Combine like terms: -20 + 20 = 0 0 + 11x = -5 + 20 11x = -5 + 20 Combine like terms: -5 + 20 = 15 11x = 15 Divide each side by '11'. x = 1.363636364 Simplifying x = 1.363636364
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