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Simplifying (0.2x + -23) + (0.2x + -53) = 90 Reorder the terms: (-23 + 0.2x) + (0.2x + -53) = 90 Remove parenthesis around (-23 + 0.2x) -23 + 0.2x + (0.2x + -53) = 90 Reorder the terms: -23 + 0.2x + (-53 + 0.2x) = 90 Remove parenthesis around (-53 + 0.2x) -23 + 0.2x + -53 + 0.2x = 90 Reorder the terms: -23 + -53 + 0.2x + 0.2x = 90 Combine like terms: -23 + -53 = -76 -76 + 0.2x + 0.2x = 90 Combine like terms: 0.2x + 0.2x = 0.4x -76 + 0.4x = 90 Solving -76 + 0.4x = 90 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '76' to each side of the equation. -76 + 76 + 0.4x = 90 + 76 Combine like terms: -76 + 76 = 0 0 + 0.4x = 90 + 76 0.4x = 90 + 76 Combine like terms: 90 + 76 = 166 0.4x = 166 Divide each side by '0.4'. x = 415 Simplifying x = 415
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