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Simplifying 1.58(0.5x + 1.1) + 1.3 = 1.33 + 1.4x Reorder the terms: 1.58(1.1 + 0.5x) + 1.3 = 1.33 + 1.4x (1.1 * 1.58 + 0.5x * 1.58) + 1.3 = 1.33 + 1.4x (1.738 + 0.79x) + 1.3 = 1.33 + 1.4x Reorder the terms: 1.738 + 1.3 + 0.79x = 1.33 + 1.4x Combine like terms: 1.738 + 1.3 = 3.038 3.038 + 0.79x = 1.33 + 1.4x Solving 3.038 + 0.79x = 1.33 + 1.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.4x' to each side of the equation. 3.038 + 0.79x + -1.4x = 1.33 + 1.4x + -1.4x Combine like terms: 0.79x + -1.4x = -0.61x 3.038 + -0.61x = 1.33 + 1.4x + -1.4x Combine like terms: 1.4x + -1.4x = 0.0 3.038 + -0.61x = 1.33 + 0.0 3.038 + -0.61x = 1.33 Add '-3.038' to each side of the equation. 3.038 + -3.038 + -0.61x = 1.33 + -3.038 Combine like terms: 3.038 + -3.038 = 0.000 0.000 + -0.61x = 1.33 + -3.038 -0.61x = 1.33 + -3.038 Combine like terms: 1.33 + -3.038 = -1.708 -0.61x = -1.708 Divide each side by '-0.61'. x = 2.8 Simplifying x = 2.8
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