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Simplifying 15x + -10 = 6x + -1(x + -2) + (-1x + 3) Reorder the terms: -10 + 15x = 6x + -1(x + -2) + (-1x + 3) Reorder the terms: -10 + 15x = 6x + -1(-2 + x) + (-1x + 3) -10 + 15x = 6x + (-2 * -1 + x * -1) + (-1x + 3) -10 + 15x = 6x + (2 + -1x) + (-1x + 3) Reorder the terms: -10 + 15x = 6x + 2 + -1x + (3 + -1x) Remove parenthesis around (3 + -1x) -10 + 15x = 6x + 2 + -1x + 3 + -1x Reorder the terms: -10 + 15x = 2 + 3 + 6x + -1x + -1x Combine like terms: 2 + 3 = 5 -10 + 15x = 5 + 6x + -1x + -1x Combine like terms: 6x + -1x = 5x -10 + 15x = 5 + 5x + -1x Combine like terms: 5x + -1x = 4x -10 + 15x = 5 + 4x Solving -10 + 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. -10 + 15x + -4x = 5 + 4x + -4x Combine like terms: 15x + -4x = 11x -10 + 11x = 5 + 4x + -4x Combine like terms: 4x + -4x = 0 -10 + 11x = 5 + 0 -10 + 11x = 5 Add '10' to each side of the equation. -10 + 10 + 11x = 5 + 10 Combine like terms: -10 + 10 = 0 0 + 11x = 5 + 10 11x = 5 + 10 Combine like terms: 5 + 10 = 15 11x = 15 Divide each side by '11'. x = 1.363636364 Simplifying x = 1.363636364
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