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Simplifying 5(-2) + -5(4) + -3(4x) + 3(5) = 97 Multiply 5 * -2 -10 + -5(4) + -3(4x) + 3(5) = 97 Multiply -5 * 4 -10 + -20 + -3(4x) + 3(5) = 97 Remove parenthesis around (4x) -10 + -20 + -3 * 4x + 3(5) = 97 Multiply -3 * 4 -10 + -20 + -12x + 3(5) = 97 Multiply 3 * 5 -10 + -20 + -12x + 15 = 97 Reorder the terms: -10 + -20 + 15 + -12x = 97 Combine like terms: -10 + -20 = -30 -30 + 15 + -12x = 97 Combine like terms: -30 + 15 = -15 -15 + -12x = 97 Solving -15 + -12x = 97 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -12x = 97 + 15 Combine like terms: -15 + 15 = 0 0 + -12x = 97 + 15 -12x = 97 + 15 Combine like terms: 97 + 15 = 112 -12x = 112 Divide each side by '-12'. x = -9.333333333 Simplifying x = -9.333333333
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