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Simplifying 2(1 + -3x) = 2(-4x + 7) (1 * 2 + -3x * 2) = 2(-4x + 7) (2 + -6x) = 2(-4x + 7) Reorder the terms: 2 + -6x = 2(7 + -4x) 2 + -6x = (7 * 2 + -4x * 2) 2 + -6x = (14 + -8x) Solving 2 + -6x = 14 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 2 + -6x + 8x = 14 + -8x + 8x Combine like terms: -6x + 8x = 2x 2 + 2x = 14 + -8x + 8x Combine like terms: -8x + 8x = 0 2 + 2x = 14 + 0 2 + 2x = 14 Add '-2' to each side of the equation. 2 + -2 + 2x = 14 + -2 Combine like terms: 2 + -2 = 0 0 + 2x = 14 + -2 2x = 14 + -2 Combine like terms: 14 + -2 = 12 2x = 12 Divide each side by '2'. x = 6 Simplifying x = 6
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