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Simplifying 0.11x + 5.91 = 1.03(x + -4) + -1.99x Reorder the terms: 5.91 + 0.11x = 1.03(x + -4) + -1.99x Reorder the terms: 5.91 + 0.11x = 1.03(-4 + x) + -1.99x 5.91 + 0.11x = (-4 * 1.03 + x * 1.03) + -1.99x 5.91 + 0.11x = (-4.12 + 1.03x) + -1.99x Combine like terms: 1.03x + -1.99x = -0.96x 5.91 + 0.11x = -4.12 + -0.96x Solving 5.91 + 0.11x = -4.12 + -0.96x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.96x' to each side of the equation. 5.91 + 0.11x + 0.96x = -4.12 + -0.96x + 0.96x Combine like terms: 0.11x + 0.96x = 1.07x 5.91 + 1.07x = -4.12 + -0.96x + 0.96x Combine like terms: -0.96x + 0.96x = 0.00 5.91 + 1.07x = -4.12 + 0.00 5.91 + 1.07x = -4.12 Add '-5.91' to each side of the equation. 5.91 + -5.91 + 1.07x = -4.12 + -5.91 Combine like terms: 5.91 + -5.91 = 0.00 0.00 + 1.07x = -4.12 + -5.91 1.07x = -4.12 + -5.91 Combine like terms: -4.12 + -5.91 = -10.03 1.07x = -10.03 Divide each side by '1.07'. x = -9.373831776 Simplifying x = -9.373831776
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