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Simplifying 14(10x + 9) = -19(x + -4) Reorder the terms: 14(9 + 10x) = -19(x + -4) (9 * 14 + 10x * 14) = -19(x + -4) (126 + 140x) = -19(x + -4) Reorder the terms: 126 + 140x = -19(-4 + x) 126 + 140x = (-4 * -19 + x * -19) 126 + 140x = (76 + -19x) Solving 126 + 140x = 76 + -19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '19x' to each side of the equation. 126 + 140x + 19x = 76 + -19x + 19x Combine like terms: 140x + 19x = 159x 126 + 159x = 76 + -19x + 19x Combine like terms: -19x + 19x = 0 126 + 159x = 76 + 0 126 + 159x = 76 Add '-126' to each side of the equation. 126 + -126 + 159x = 76 + -126 Combine like terms: 126 + -126 = 0 0 + 159x = 76 + -126 159x = 76 + -126 Combine like terms: 76 + -126 = -50 159x = -50 Divide each side by '159'. x = -0.3144654088 Simplifying x = -0.3144654088
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