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Simplifying x + -1(9x + -10) + 11 = 12x + (-2x + 3) Reorder the terms: x + -1(-10 + 9x) + 11 = 12x + (-2x + 3) x + (-10 * -1 + 9x * -1) + 11 = 12x + (-2x + 3) x + (10 + -9x) + 11 = 12x + (-2x + 3) Reorder the terms: 10 + 11 + x + -9x = 12x + (-2x + 3) Combine like terms: 10 + 11 = 21 21 + x + -9x = 12x + (-2x + 3) Combine like terms: x + -9x = -8x 21 + -8x = 12x + (-2x + 3) Reorder the terms: 21 + -8x = 12x + (3 + -2x) Remove parenthesis around (3 + -2x) 21 + -8x = 12x + 3 + -2x Reorder the terms: 21 + -8x = 3 + 12x + -2x Combine like terms: 12x + -2x = 10x 21 + -8x = 3 + 10x Solving 21 + -8x = 3 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 21 + -8x + -10x = 3 + 10x + -10x Combine like terms: -8x + -10x = -18x 21 + -18x = 3 + 10x + -10x Combine like terms: 10x + -10x = 0 21 + -18x = 3 + 0 21 + -18x = 3 Add '-21' to each side of the equation. 21 + -21 + -18x = 3 + -21 Combine like terms: 21 + -21 = 0 0 + -18x = 3 + -21 -18x = 3 + -21 Combine like terms: 3 + -21 = -18 -18x = -18 Divide each side by '-18'. x = 1 Simplifying x = 1
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