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Simplifying 7(6x + 9.5) = -17.5 + -9x Reorder the terms: 7(9.5 + 6x) = -17.5 + -9x (9.5 * 7 + 6x * 7) = -17.5 + -9x (66.5 + 42x) = -17.5 + -9x Solving 66.5 + 42x = -17.5 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 66.5 + 42x + 9x = -17.5 + -9x + 9x Combine like terms: 42x + 9x = 51x 66.5 + 51x = -17.5 + -9x + 9x Combine like terms: -9x + 9x = 0 66.5 + 51x = -17.5 + 0 66.5 + 51x = -17.5 Add '-66.5' to each side of the equation. 66.5 + -66.5 + 51x = -17.5 + -66.5 Combine like terms: 66.5 + -66.5 = 0.0 0.0 + 51x = -17.5 + -66.5 51x = -17.5 + -66.5 Combine like terms: -17.5 + -66.5 = -84 51x = -84 Divide each side by '51'. x = -1.647058824 Simplifying x = -1.647058824
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