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Simplifying -1(9x + -10) + 11 = 12r + 3(-2x) Reorder the terms: -1(-10 + 9x) + 11 = 12r + 3(-2x) (-10 * -1 + 9x * -1) + 11 = 12r + 3(-2x) (10 + -9x) + 11 = 12r + 3(-2x) Reorder the terms: 10 + 11 + -9x = 12r + 3(-2x) Combine like terms: 10 + 11 = 21 21 + -9x = 12r + 3(-2x) Remove parenthesis around (-2x) 21 + -9x = 12r + 3 * -2x Multiply 3 * -2 21 + -9x = 12r + -6x Solving 21 + -9x = 12r + -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 + -9x + 6x = 12r + -6x + 6x Combine like terms: -9x + 6x = -3x 21 + -3x = 12r + -6x + 6x Combine like terms: -6x + 6x = 0 21 + -3x = 12r + 0 21 + -3x = 12r Add '-21' to each side of the equation. 21 + -21 + -3x = -21 + 12r Combine like terms: 21 + -21 = 0 0 + -3x = -21 + 12r -3x = -21 + 12r Divide each side by '-3'. x = 7 + -4r Simplifying x = 7 + -4r
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