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Simplifying -4x + -6(1 + 3x) = -3x + 32 -4x + (1 * -6 + 3x * -6) = -3x + 32 -4x + (-6 + -18x) = -3x + 32 Reorder the terms: -6 + -4x + -18x = -3x + 32 Combine like terms: -4x + -18x = -22x -6 + -22x = -3x + 32 Reorder the terms: -6 + -22x = 32 + -3x Solving -6 + -22x = 32 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -6 + -22x + 3x = 32 + -3x + 3x Combine like terms: -22x + 3x = -19x -6 + -19x = 32 + -3x + 3x Combine like terms: -3x + 3x = 0 -6 + -19x = 32 + 0 -6 + -19x = 32 Add '6' to each side of the equation. -6 + 6 + -19x = 32 + 6 Combine like terms: -6 + 6 = 0 0 + -19x = 32 + 6 -19x = 32 + 6 Combine like terms: 32 + 6 = 38 -19x = 38 Divide each side by '-19'. x = -2 Simplifying x = -2
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