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Simplifying 4(1 + -3x) + (3x + 7) = -8x + 1 + 4 + -6x (1 * 4 + -3x * 4) + (3x + 7) = -8x + 1 + 4 + -6x (4 + -12x) + (3x + 7) = -8x + 1 + 4 + -6x Reorder the terms: 4 + -12x + (7 + 3x) = -8x + 1 + 4 + -6x Remove parenthesis around (7 + 3x) 4 + -12x + 7 + 3x = -8x + 1 + 4 + -6x Reorder the terms: 4 + 7 + -12x + 3x = -8x + 1 + 4 + -6x Combine like terms: 4 + 7 = 11 11 + -12x + 3x = -8x + 1 + 4 + -6x Combine like terms: -12x + 3x = -9x 11 + -9x = -8x + 1 + 4 + -6x Reorder the terms: 11 + -9x = 1 + 4 + -8x + -6x Combine like terms: 1 + 4 = 5 11 + -9x = 5 + -8x + -6x Combine like terms: -8x + -6x = -14x 11 + -9x = 5 + -14x Solving 11 + -9x = 5 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. 11 + -9x + 14x = 5 + -14x + 14x Combine like terms: -9x + 14x = 5x 11 + 5x = 5 + -14x + 14x Combine like terms: -14x + 14x = 0 11 + 5x = 5 + 0 11 + 5x = 5 Add '-11' to each side of the equation. 11 + -11 + 5x = 5 + -11 Combine like terms: 11 + -11 = 0 0 + 5x = 5 + -11 5x = 5 + -11 Combine like terms: 5 + -11 = -6 5x = -6 Divide each side by '5'. x = -1.2 Simplifying x = -1.2
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