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Simplifying -2(1 + -3x) + 5(x + 6) = -5x + 4 + 8x (1 * -2 + -3x * -2) + 5(x + 6) = -5x + 4 + 8x (-2 + 6x) + 5(x + 6) = -5x + 4 + 8x Reorder the terms: -2 + 6x + 5(6 + x) = -5x + 4 + 8x -2 + 6x + (6 * 5 + x * 5) = -5x + 4 + 8x -2 + 6x + (30 + 5x) = -5x + 4 + 8x Reorder the terms: -2 + 30 + 6x + 5x = -5x + 4 + 8x Combine like terms: -2 + 30 = 28 28 + 6x + 5x = -5x + 4 + 8x Combine like terms: 6x + 5x = 11x 28 + 11x = -5x + 4 + 8x Reorder the terms: 28 + 11x = 4 + -5x + 8x Combine like terms: -5x + 8x = 3x 28 + 11x = 4 + 3x Solving 28 + 11x = 4 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 28 + 11x + -3x = 4 + 3x + -3x Combine like terms: 11x + -3x = 8x 28 + 8x = 4 + 3x + -3x Combine like terms: 3x + -3x = 0 28 + 8x = 4 + 0 28 + 8x = 4 Add '-28' to each side of the equation. 28 + -28 + 8x = 4 + -28 Combine like terms: 28 + -28 = 0 0 + 8x = 4 + -28 8x = 4 + -28 Combine like terms: 4 + -28 = -24 8x = -24 Divide each side by '8'. x = -3 Simplifying x = -3
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