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Simplifying -8x + 4(1 + 5x) = -6x + -13 -8x + (1 * 4 + 5x * 4) = -6x + -13 -8x + (4 + 20x) = -6x + -13 Reorder the terms: 4 + -8x + 20x = -6x + -13 Combine like terms: -8x + 20x = 12x 4 + 12x = -6x + -13 Reorder the terms: 4 + 12x = -13 + -6x Solving 4 + 12x = -13 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 4 + 12x + 6x = -13 + -6x + 6x Combine like terms: 12x + 6x = 18x 4 + 18x = -13 + -6x + 6x Combine like terms: -6x + 6x = 0 4 + 18x = -13 + 0 4 + 18x = -13 Add '-4' to each side of the equation. 4 + -4 + 18x = -13 + -4 Combine like terms: 4 + -4 = 0 0 + 18x = -13 + -4 18x = -13 + -4 Combine like terms: -13 + -4 = -17 18x = -17 Divide each side by '18'. x = -0.9444444444 Simplifying x = -0.9444444444
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