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Simplifying 3(x + -8) + -1(-4x + -1) = 6x Reorder the terms: 3(-8 + x) + -1(-4x + -1) = 6x (-8 * 3 + x * 3) + -1(-4x + -1) = 6x (-24 + 3x) + -1(-4x + -1) = 6x Reorder the terms: -24 + 3x + -1(-1 + -4x) = 6x -24 + 3x + (-1 * -1 + -4x * -1) = 6x -24 + 3x + (1 + 4x) = 6x Reorder the terms: -24 + 1 + 3x + 4x = 6x Combine like terms: -24 + 1 = -23 -23 + 3x + 4x = 6x Combine like terms: 3x + 4x = 7x -23 + 7x = 6x Solving -23 + 7x = 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. -23 + 7x + -6x = 6x + -6x Combine like terms: 7x + -6x = 1x -23 + 1x = 6x + -6x Combine like terms: 6x + -6x = 0 -23 + 1x = 0 Add '23' to each side of the equation. -23 + 23 + 1x = 0 + 23 Combine like terms: -23 + 23 = 0 0 + 1x = 0 + 23 1x = 0 + 23 Combine like terms: 0 + 23 = 23 1x = 23 Divide each side by '1'. x = 23 Simplifying x = 23
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