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Simplifying 7 + -4x + 1 = 3(1 + -3x) + 4x Reorder the terms: 7 + 1 + -4x = 3(1 + -3x) + 4x Combine like terms: 7 + 1 = 8 8 + -4x = 3(1 + -3x) + 4x 8 + -4x = (1 * 3 + -3x * 3) + 4x 8 + -4x = (3 + -9x) + 4x Combine like terms: -9x + 4x = -5x 8 + -4x = 3 + -5x Solving 8 + -4x = 3 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 8 + -4x + 5x = 3 + -5x + 5x Combine like terms: -4x + 5x = 1x 8 + 1x = 3 + -5x + 5x Combine like terms: -5x + 5x = 0 8 + 1x = 3 + 0 8 + 1x = 3 Add '-8' to each side of the equation. 8 + -8 + 1x = 3 + -8 Combine like terms: 8 + -8 = 0 0 + 1x = 3 + -8 1x = 3 + -8 Combine like terms: 3 + -8 = -5 1x = -5 Divide each side by '1'. x = -5 Simplifying x = -5
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