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Simplifying 5.45(11) + 7.33x = 6.14(x + 11) Multiply 5.45 * 11 59.95 + 7.33x = 6.14(x + 11) Reorder the terms: 59.95 + 7.33x = 6.14(11 + x) 59.95 + 7.33x = (11 * 6.14 + x * 6.14) 59.95 + 7.33x = (67.54 + 6.14x) Solving 59.95 + 7.33x = 67.54 + 6.14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6.14x' to each side of the equation. 59.95 + 7.33x + -6.14x = 67.54 + 6.14x + -6.14x Combine like terms: 7.33x + -6.14x = 1.19x 59.95 + 1.19x = 67.54 + 6.14x + -6.14x Combine like terms: 6.14x + -6.14x = 0.00 59.95 + 1.19x = 67.54 + 0.00 59.95 + 1.19x = 67.54 Add '-59.95' to each side of the equation. 59.95 + -59.95 + 1.19x = 67.54 + -59.95 Combine like terms: 59.95 + -59.95 = 0.00 0.00 + 1.19x = 67.54 + -59.95 1.19x = 67.54 + -59.95 Combine like terms: 67.54 + -59.95 = 7.59 1.19x = 7.59 Divide each side by '1.19'. x = 6.378151261 Simplifying x = 6.378151261
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