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Simplifying -5x + -6 = 3(x + 4) + 6 Reorder the terms: -6 + -5x = 3(x + 4) + 6 Reorder the terms: -6 + -5x = 3(4 + x) + 6 -6 + -5x = (4 * 3 + x * 3) + 6 -6 + -5x = (12 + 3x) + 6 Reorder the terms: -6 + -5x = 12 + 6 + 3x Combine like terms: 12 + 6 = 18 -6 + -5x = 18 + 3x Solving -6 + -5x = 18 + 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 + -5x + -3x = 18 + 3x + -3x Combine like terms: -5x + -3x = -8x -6 + -8x = 18 + 3x + -3x Combine like terms: 3x + -3x = 0 -6 + -8x = 18 + 0 -6 + -8x = 18 Add '6' to each side of the equation. -6 + 6 + -8x = 18 + 6 Combine like terms: -6 + 6 = 0 0 + -8x = 18 + 6 -8x = 18 + 6 Combine like terms: 18 + 6 = 24 -8x = 24 Divide each side by '-8'. x = -3 Simplifying x = -3
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