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Simplifying 4x + 6(-3x + -6) = -44 + -6x Reorder the terms: 4x + 6(-6 + -3x) = -44 + -6x 4x + (-6 * 6 + -3x * 6) = -44 + -6x 4x + (-36 + -18x) = -44 + -6x Reorder the terms: -36 + 4x + -18x = -44 + -6x Combine like terms: 4x + -18x = -14x -36 + -14x = -44 + -6x Solving -36 + -14x = -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. -36 + -14x + 6x = -44 + -6x + 6x Combine like terms: -14x + 6x = -8x -36 + -8x = -44 + -6x + 6x Combine like terms: -6x + 6x = 0 -36 + -8x = -44 + 0 -36 + -8x = -44 Add '36' to each side of the equation. -36 + 36 + -8x = -44 + 36 Combine like terms: -36 + 36 = 0 0 + -8x = -44 + 36 -8x = -44 + 36 Combine like terms: -44 + 36 = -8 -8x = -8 Divide each side by '-8'. x = 1 Simplifying x = 1
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