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Simplifying 152.75 = (x + 7.80 + 3.40) * 13 Reorder the terms: 152.75 = (7.80 + 3.40 + x) * 13 Combine like terms: 7.80 + 3.40 = 11.2 152.75 = (11.2 + x) * 13 Reorder the terms for easier multiplication: 152.75 = 13(11.2 + x) 152.75 = (11.2 * 13 + x * 13) 152.75 = (145.6 + 13x) Solving 152.75 = 145.6 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 152.75 + -13x = 145.6 + 13x + -13x Combine like terms: 13x + -13x = 0 152.75 + -13x = 145.6 + 0 152.75 + -13x = 145.6 Add '-152.75' to each side of the equation. 152.75 + -152.75 + -13x = 145.6 + -152.75 Combine like terms: 152.75 + -152.75 = 0.00 0.00 + -13x = 145.6 + -152.75 -13x = 145.6 + -152.75 Combine like terms: 145.6 + -152.75 = -7.15 -13x = -7.15 Divide each side by '-13'. x = 0.55 Simplifying x = 0.55
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