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Simplifying 2 + -3x = 1 + -4(3x + -2) Reorder the terms: 2 + -3x = 1 + -4(-2 + 3x) 2 + -3x = 1 + (-2 * -4 + 3x * -4) 2 + -3x = 1 + (8 + -12x) Combine like terms: 1 + 8 = 9 2 + -3x = 9 + -12x Solving 2 + -3x = 9 + -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 + -3x + 12x = 9 + -12x + 12x Combine like terms: -3x + 12x = 9x 2 + 9x = 9 + -12x + 12x Combine like terms: -12x + 12x = 0 2 + 9x = 9 + 0 2 + 9x = 9 Add '-2' to each side of the equation. 2 + -2 + 9x = 9 + -2 Combine like terms: 2 + -2 = 0 0 + 9x = 9 + -2 9x = 9 + -2 Combine like terms: 9 + -2 = 7 9x = 7 Divide each side by '9'. x = 0.7777777778 Simplifying x = 0.7777777778
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