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Simplifying 1(1 + -3x) = 2(-4x + 7) (1 * 1 + -3x * 1) = 2(-4x + 7) (1 + -3x) = 2(-4x + 7) Reorder the terms: 1 + -3x = 2(7 + -4x) 1 + -3x = (7 * 2 + -4x * 2) 1 + -3x = (14 + -8x) Solving 1 + -3x = 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. 1 + -3x + 8x = 14 + -8x + 8x Combine like terms: -3x + 8x = 5x 1 + 5x = 14 + -8x + 8x Combine like terms: -8x + 8x = 0 1 + 5x = 14 + 0 1 + 5x = 14 Add '-1' to each side of the equation. 1 + -1 + 5x = 14 + -1 Combine like terms: 1 + -1 = 0 0 + 5x = 14 + -1 5x = 14 + -1 Combine like terms: 14 + -1 = 13 5x = 13 Divide each side by '5'. x = 2.6 Simplifying x = 2.6
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