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Simplifying x + 4x + 8(3 + -1x) = 6x + 5 + -1(2 + -1x) + 2x x + 4x + (3 * 8 + -1x * 8) = 6x + 5 + -1(2 + -1x) + 2x x + 4x + (24 + -8x) = 6x + 5 + -1(2 + -1x) + 2x Reorder the terms: 24 + x + 4x + -8x = 6x + 5 + -1(2 + -1x) + 2x Combine like terms: x + 4x = 5x 24 + 5x + -8x = 6x + 5 + -1(2 + -1x) + 2x Combine like terms: 5x + -8x = -3x 24 + -3x = 6x + 5 + -1(2 + -1x) + 2x 24 + -3x = 6x + 5 + (2 * -1 + -1x * -1) + 2x 24 + -3x = 6x + 5 + (-2 + 1x) + 2x Reorder the terms: 24 + -3x = 5 + -2 + 6x + 1x + 2x Combine like terms: 5 + -2 = 3 24 + -3x = 3 + 6x + 1x + 2x Combine like terms: 6x + 1x = 7x 24 + -3x = 3 + 7x + 2x Combine like terms: 7x + 2x = 9x 24 + -3x = 3 + 9x Solving 24 + -3x = 3 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 24 + -3x + -9x = 3 + 9x + -9x Combine like terms: -3x + -9x = -12x 24 + -12x = 3 + 9x + -9x Combine like terms: 9x + -9x = 0 24 + -12x = 3 + 0 24 + -12x = 3 Add '-24' to each side of the equation. 24 + -24 + -12x = 3 + -24 Combine like terms: 24 + -24 = 0 0 + -12x = 3 + -24 -12x = 3 + -24 Combine like terms: 3 + -24 = -21 -12x = -21 Divide each side by '-12'. x = 1.75 Simplifying x = 1.75
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