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