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Simplifying 8x + -1(4x + 6) = 6x + -44 Reorder the terms: 8x + -1(6 + 4x) = 6x + -44 8x + (6 * -1 + 4x * -1) = 6x + -44 8x + (-6 + -4x) = 6x + -44 Reorder the terms: -6 + 8x + -4x = 6x + -44 Combine like terms: 8x + -4x = 4x -6 + 4x = 6x + -44 Reorder the terms: -6 + 4x = -44 + 6x Solving -6 + 4x = -44 + 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. -6 + 4x + -6x = -44 + 6x + -6x Combine like terms: 4x + -6x = -2x -6 + -2x = -44 + 6x + -6x Combine like terms: 6x + -6x = 0 -6 + -2x = -44 + 0 -6 + -2x = -44 Add '6' to each side of the equation. -6 + 6 + -2x = -44 + 6 Combine like terms: -6 + 6 = 0 0 + -2x = -44 + 6 -2x = -44 + 6 Combine like terms: -44 + 6 = -38 -2x = -38 Divide each side by '-2'. x = 19 Simplifying x = 19
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