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Simplifying 2(5x + -1) + -9x = 1 + (12x + 3) Reorder the terms: 2(-1 + 5x) + -9x = 1 + (12x + 3) (-1 * 2 + 5x * 2) + -9x = 1 + (12x + 3) (-2 + 10x) + -9x = 1 + (12x + 3) Combine like terms: 10x + -9x = 1x -2 + 1x = 1 + (12x + 3) Reorder the terms: -2 + 1x = 1 + (3 + 12x) Remove parenthesis around (3 + 12x) -2 + 1x = 1 + 3 + 12x Combine like terms: 1 + 3 = 4 -2 + 1x = 4 + 12x Solving -2 + 1x = 4 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -2 + 1x + -12x = 4 + 12x + -12x Combine like terms: 1x + -12x = -11x -2 + -11x = 4 + 12x + -12x Combine like terms: 12x + -12x = 0 -2 + -11x = 4 + 0 -2 + -11x = 4 Add '2' to each side of the equation. -2 + 2 + -11x = 4 + 2 Combine like terms: -2 + 2 = 0 0 + -11x = 4 + 2 -11x = 4 + 2 Combine like terms: 4 + 2 = 6 -11x = 6 Divide each side by '-11'. x = -0.5454545455 Simplifying x = -0.5454545455
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