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Simplifying 646.15 = 40x + (1.5x) * 5 Remove parenthesis around (1.5x) 646.15 = 40x + 1.5x * 5 Reorder the terms for easier multiplication: 646.15 = 40x + 1.5 * 5x Multiply 1.5 * 5 646.15 = 40x + 7.5x Combine like terms: 40x + 7.5x = 47.5x 646.15 = 47.5x Solving 646.15 = 47.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-47.5x' to each side of the equation. 646.15 + -47.5x = 47.5x + -47.5x Combine like terms: 47.5x + -47.5x = 0.0 646.15 + -47.5x = 0.0 Add '-646.15' to each side of the equation. 646.15 + -646.15 + -47.5x = 0.0 + -646.15 Combine like terms: 646.15 + -646.15 = 0.00 0.00 + -47.5x = 0.0 + -646.15 -47.5x = 0.0 + -646.15 Combine like terms: 0.0 + -646.15 = -646.15 -47.5x = -646.15 Divide each side by '-47.5'. x = 13.60315789 Simplifying x = 13.60315789
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