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Simplifying 4 + -1(3x + 1) + -6x = 5(x + 4) Reorder the terms: 4 + -1(1 + 3x) + -6x = 5(x + 4) 4 + (1 * -1 + 3x * -1) + -6x = 5(x + 4) 4 + (-1 + -3x) + -6x = 5(x + 4) Combine like terms: 4 + -1 = 3 3 + -3x + -6x = 5(x + 4) Combine like terms: -3x + -6x = -9x 3 + -9x = 5(x + 4) Reorder the terms: 3 + -9x = 5(4 + x) 3 + -9x = (4 * 5 + x * 5) 3 + -9x = (20 + 5x) Solving 3 + -9x = 20 + 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. 3 + -9x + -5x = 20 + 5x + -5x Combine like terms: -9x + -5x = -14x 3 + -14x = 20 + 5x + -5x Combine like terms: 5x + -5x = 0 3 + -14x = 20 + 0 3 + -14x = 20 Add '-3' to each side of the equation. 3 + -3 + -14x = 20 + -3 Combine like terms: 3 + -3 = 0 0 + -14x = 20 + -3 -14x = 20 + -3 Combine like terms: 20 + -3 = 17 -14x = 17 Divide each side by '-14'. x = -1.214285714 Simplifying x = -1.214285714
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