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Simplifying 15x + -10 = 6x + -1(x + 2) + (x + 3) Reorder the terms: -10 + 15x = 6x + -1(x + 2) + (x + 3) Reorder the terms: -10 + 15x = 6x + -1(2 + x) + (x + 3) -10 + 15x = 6x + (2 * -1 + x * -1) + (x + 3) -10 + 15x = 6x + (-2 + -1x) + (x + 3) Reorder the terms: -10 + 15x = 6x + -2 + -1x + (3 + x) Remove parenthesis around (3 + x) -10 + 15x = 6x + -2 + -1x + 3 + x Reorder the terms: -10 + 15x = -2 + 3 + 6x + -1x + x Combine like terms: -2 + 3 = 1 -10 + 15x = 1 + 6x + -1x + x Combine like terms: 6x + -1x = 5x -10 + 15x = 1 + 5x + x Combine like terms: 5x + x = 6x -10 + 15x = 1 + 6x Solving -10 + 15x = 1 + 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. -10 + 15x + -6x = 1 + 6x + -6x Combine like terms: 15x + -6x = 9x -10 + 9x = 1 + 6x + -6x Combine like terms: 6x + -6x = 0 -10 + 9x = 1 + 0 -10 + 9x = 1 Add '10' to each side of the equation. -10 + 10 + 9x = 1 + 10 Combine like terms: -10 + 10 = 0 0 + 9x = 1 + 10 9x = 1 + 10 Combine like terms: 1 + 10 = 11 9x = 11 Divide each side by '9'. x = 1.222222222 Simplifying x = 1.222222222
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