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Simplifying 19.70 = x + (x + -8)(1.5)(0.65) Reorder the terms: 19.70 = x + (-8 + x)(1.5)(0.65) Reorder the terms for easier multiplication: 19.70 = x + 1.5 * 0.65(-8 + x) Multiply 1.5 * 0.65 19.70 = x + 0.975(-8 + x) 19.70 = x + (-8 * 0.975 + x * 0.975) 19.70 = x + (-7.8 + 0.975x) Reorder the terms: 19.70 = -7.8 + x + 0.975x Combine like terms: x + 0.975x = 1.975x 19.70 = -7.8 + 1.975x Solving 19.70 = -7.8 + 1.975x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.975x' to each side of the equation. 19.70 + -1.975x = -7.8 + 1.975x + -1.975x Combine like terms: 1.975x + -1.975x = 0.000 19.70 + -1.975x = -7.8 + 0.000 19.70 + -1.975x = -7.8 Add '-19.70' to each side of the equation. 19.70 + -19.70 + -1.975x = -7.8 + -19.70 Combine like terms: 19.70 + -19.70 = 0.00 0.00 + -1.975x = -7.8 + -19.70 -1.975x = -7.8 + -19.70 Combine like terms: -7.8 + -19.70 = -27.5 -1.975x = -27.5 Divide each side by '-1.975'. x = 13.92405063 Simplifying x = 13.92405063
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