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Simplifying x + 1 + -3(4x + -1) = 2x + -9 Reorder the terms: x + 1 + -3(-1 + 4x) = 2x + -9 x + 1 + (-1 * -3 + 4x * -3) = 2x + -9 x + 1 + (3 + -12x) = 2x + -9 Reorder the terms: 1 + 3 + x + -12x = 2x + -9 Combine like terms: 1 + 3 = 4 4 + x + -12x = 2x + -9 Combine like terms: x + -12x = -11x 4 + -11x = 2x + -9 Reorder the terms: 4 + -11x = -9 + 2x Solving 4 + -11x = -9 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 4 + -11x + -2x = -9 + 2x + -2x Combine like terms: -11x + -2x = -13x 4 + -13x = -9 + 2x + -2x Combine like terms: 2x + -2x = 0 4 + -13x = -9 + 0 4 + -13x = -9 Add '-4' to each side of the equation. 4 + -4 + -13x = -9 + -4 Combine like terms: 4 + -4 = 0 0 + -13x = -9 + -4 -13x = -9 + -4 Combine like terms: -9 + -4 = -13 -13x = -13 Divide each side by '-13'. x = 1 Simplifying x = 1
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