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Simplifying 1 + -2(-4 + 6x) = 1 + -3x + 2 + -3(x + 9) 1 + (-4 * -2 + 6x * -2) = 1 + -3x + 2 + -3(x + 9) 1 + (8 + -12x) = 1 + -3x + 2 + -3(x + 9) Combine like terms: 1 + 8 = 9 9 + -12x = 1 + -3x + 2 + -3(x + 9) Reorder the terms: 9 + -12x = 1 + -3x + 2 + -3(9 + x) 9 + -12x = 1 + -3x + 2 + (9 * -3 + x * -3) 9 + -12x = 1 + -3x + 2 + (-27 + -3x) Reorder the terms: 9 + -12x = 1 + 2 + -27 + -3x + -3x Combine like terms: 1 + 2 = 3 9 + -12x = 3 + -27 + -3x + -3x Combine like terms: 3 + -27 = -24 9 + -12x = -24 + -3x + -3x Combine like terms: -3x + -3x = -6x 9 + -12x = -24 + -6x Solving 9 + -12x = -24 + -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. 9 + -12x + 6x = -24 + -6x + 6x Combine like terms: -12x + 6x = -6x 9 + -6x = -24 + -6x + 6x Combine like terms: -6x + 6x = 0 9 + -6x = -24 + 0 9 + -6x = -24 Add '-9' to each side of the equation. 9 + -9 + -6x = -24 + -9 Combine like terms: 9 + -9 = 0 0 + -6x = -24 + -9 -6x = -24 + -9 Combine like terms: -24 + -9 = -33 -6x = -33 Divide each side by '-6'. x = 5.5 Simplifying x = 5.5
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