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Simplifying 5[-6x + -5] + -12 = 43 Reorder the terms: 5[-5 + -6x] + -12 = 43 [-5 * 5 + -6x * 5] + -12 = 43 [-25 + -30x] + -12 = 43 Reorder the terms: -25 + -12 + -30x = 43 Combine like terms: -25 + -12 = -37 -37 + -30x = 43 Solving -37 + -30x = 43 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '37' to each side of the equation. -37 + 37 + -30x = 43 + 37 Combine like terms: -37 + 37 = 0 0 + -30x = 43 + 37 -30x = 43 + 37 Combine like terms: 43 + 37 = 80 -30x = 80 Divide each side by '-30'. x = -2.666666667 Simplifying x = -2.666666667
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