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Simplifying 4(-3x + -5) + 3x + 2 = 54 Reorder the terms: 4(-5 + -3x) + 3x + 2 = 54 (-5 * 4 + -3x * 4) + 3x + 2 = 54 (-20 + -12x) + 3x + 2 = 54 Reorder the terms: -20 + 2 + -12x + 3x = 54 Combine like terms: -20 + 2 = -18 -18 + -12x + 3x = 54 Combine like terms: -12x + 3x = -9x -18 + -9x = 54 Solving -18 + -9x = 54 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + -9x = 54 + 18 Combine like terms: -18 + 18 = 0 0 + -9x = 54 + 18 -9x = 54 + 18 Combine like terms: 54 + 18 = 72 -9x = 72 Divide each side by '-9'. x = -8 Simplifying x = -8
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