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Simplifying 6(6x + -5) + -8(2 + 3x) = 3x + -4 + 2x Reorder the terms: 6(-5 + 6x) + -8(2 + 3x) = 3x + -4 + 2x (-5 * 6 + 6x * 6) + -8(2 + 3x) = 3x + -4 + 2x (-30 + 36x) + -8(2 + 3x) = 3x + -4 + 2x -30 + 36x + (2 * -8 + 3x * -8) = 3x + -4 + 2x -30 + 36x + (-16 + -24x) = 3x + -4 + 2x Reorder the terms: -30 + -16 + 36x + -24x = 3x + -4 + 2x Combine like terms: -30 + -16 = -46 -46 + 36x + -24x = 3x + -4 + 2x Combine like terms: 36x + -24x = 12x -46 + 12x = 3x + -4 + 2x Reorder the terms: -46 + 12x = -4 + 3x + 2x Combine like terms: 3x + 2x = 5x -46 + 12x = -4 + 5x Solving -46 + 12x = -4 + 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. -46 + 12x + -5x = -4 + 5x + -5x Combine like terms: 12x + -5x = 7x -46 + 7x = -4 + 5x + -5x Combine like terms: 5x + -5x = 0 -46 + 7x = -4 + 0 -46 + 7x = -4 Add '46' to each side of the equation. -46 + 46 + 7x = -4 + 46 Combine like terms: -46 + 46 = 0 0 + 7x = -4 + 46 7x = -4 + 46 Combine like terms: -4 + 46 = 42 7x = 42 Divide each side by '7'. x = 6 Simplifying x = 6
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