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Simplifying 4(x + -5) + 6 = -3(2 + -4x) Reorder the terms: 4(-5 + x) + 6 = -3(2 + -4x) (-5 * 4 + x * 4) + 6 = -3(2 + -4x) (-20 + 4x) + 6 = -3(2 + -4x) Reorder the terms: -20 + 6 + 4x = -3(2 + -4x) Combine like terms: -20 + 6 = -14 -14 + 4x = -3(2 + -4x) -14 + 4x = (2 * -3 + -4x * -3) -14 + 4x = (-6 + 12x) Solving -14 + 4x = -6 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -14 + 4x + -12x = -6 + 12x + -12x Combine like terms: 4x + -12x = -8x -14 + -8x = -6 + 12x + -12x Combine like terms: 12x + -12x = 0 -14 + -8x = -6 + 0 -14 + -8x = -6 Add '14' to each side of the equation. -14 + 14 + -8x = -6 + 14 Combine like terms: -14 + 14 = 0 0 + -8x = -6 + 14 -8x = -6 + 14 Combine like terms: -6 + 14 = 8 -8x = 8 Divide each side by '-8'. x = -1 Simplifying x = -1
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