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Simplifying -7.57 + -2.42(x + 5.54) = 6.95 Reorder the terms: -7.57 + -2.42(5.54 + x) = 6.95 -7.57 + (5.54 * -2.42 + x * -2.42) = 6.95 -7.57 + (-13.4068 + -2.42x) = 6.95 Combine like terms: -7.57 + -13.4068 = -20.9768 -20.9768 + -2.42x = 6.95 Solving -20.9768 + -2.42x = 6.95 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20.9768' to each side of the equation. -20.9768 + 20.9768 + -2.42x = 6.95 + 20.9768 Combine like terms: -20.9768 + 20.9768 = 0.0000 0.0000 + -2.42x = 6.95 + 20.9768 -2.42x = 6.95 + 20.9768 Combine like terms: 6.95 + 20.9768 = 27.9268 -2.42x = 27.9268 Divide each side by '-2.42'. x = -11.54 Simplifying x = -11.54
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