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Simplifying 6x + -1(x + 2) + (3 + -1x) = 15x + -10 Reorder the terms: 6x + -1(2 + x) + (3 + -1x) = 15x + -10 6x + (2 * -1 + x * -1) + (3 + -1x) = 15x + -10 6x + (-2 + -1x) + (3 + -1x) = 15x + -10 Remove parenthesis around (3 + -1x) 6x + -2 + -1x + 3 + -1x = 15x + -10 Reorder the terms: -2 + 3 + 6x + -1x + -1x = 15x + -10 Combine like terms: -2 + 3 = 1 1 + 6x + -1x + -1x = 15x + -10 Combine like terms: 6x + -1x = 5x 1 + 5x + -1x = 15x + -10 Combine like terms: 5x + -1x = 4x 1 + 4x = 15x + -10 Reorder the terms: 1 + 4x = -10 + 15x Solving 1 + 4x = -10 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 1 + 4x + -15x = -10 + 15x + -15x Combine like terms: 4x + -15x = -11x 1 + -11x = -10 + 15x + -15x Combine like terms: 15x + -15x = 0 1 + -11x = -10 + 0 1 + -11x = -10 Add '-1' to each side of the equation. 1 + -1 + -11x = -10 + -1 Combine like terms: 1 + -1 = 0 0 + -11x = -10 + -1 -11x = -10 + -1 Combine like terms: -10 + -1 = -11 -11x = -11 Divide each side by '-11'. x = 1 Simplifying x = 1
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