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Simplifying x + -1(9x + -10) + 11 = 12x + 3(-2x + 13) Reorder the terms: x + -1(-10 + 9x) + 11 = 12x + 3(-2x + 13) x + (-10 * -1 + 9x * -1) + 11 = 12x + 3(-2x + 13) x + (10 + -9x) + 11 = 12x + 3(-2x + 13) Reorder the terms: 10 + 11 + x + -9x = 12x + 3(-2x + 13) Combine like terms: 10 + 11 = 21 21 + x + -9x = 12x + 3(-2x + 13) Combine like terms: x + -9x = -8x 21 + -8x = 12x + 3(-2x + 13) Reorder the terms: 21 + -8x = 12x + 3(13 + -2x) 21 + -8x = 12x + (13 * 3 + -2x * 3) 21 + -8x = 12x + (39 + -6x) Reorder the terms: 21 + -8x = 39 + 12x + -6x Combine like terms: 12x + -6x = 6x 21 + -8x = 39 + 6x Solving 21 + -8x = 39 + 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. 21 + -8x + -6x = 39 + 6x + -6x Combine like terms: -8x + -6x = -14x 21 + -14x = 39 + 6x + -6x Combine like terms: 6x + -6x = 0 21 + -14x = 39 + 0 21 + -14x = 39 Add '-21' to each side of the equation. 21 + -21 + -14x = 39 + -21 Combine like terms: 21 + -21 = 0 0 + -14x = 39 + -21 -14x = 39 + -21 Combine like terms: 39 + -21 = 18 -14x = 18 Divide each side by '-14'. x = -1.285714286 Simplifying x = -1.285714286
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