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Simplifying 7x + -1(3x + 8) = 6x + -44 Reorder the terms: 7x + -1(8 + 3x) = 6x + -44 7x + (8 * -1 + 3x * -1) = 6x + -44 7x + (-8 + -3x) = 6x + -44 Reorder the terms: -8 + 7x + -3x = 6x + -44 Combine like terms: 7x + -3x = 4x -8 + 4x = 6x + -44 Reorder the terms: -8 + 4x = -44 + 6x Solving -8 + 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. -8 + 4x + -6x = -44 + 6x + -6x Combine like terms: 4x + -6x = -2x -8 + -2x = -44 + 6x + -6x Combine like terms: 6x + -6x = 0 -8 + -2x = -44 + 0 -8 + -2x = -44 Add '8' to each side of the equation. -8 + 8 + -2x = -44 + 8 Combine like terms: -8 + 8 = 0 0 + -2x = -44 + 8 -2x = -44 + 8 Combine like terms: -44 + 8 = -36 -2x = -36 Divide each side by '-2'. x = 18 Simplifying x = 18
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