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Simplifying 0.35(x) + 0.40(19) = 0.36(x + 19) Multiply 0.40 * 19 0.35x + 7.6 = 0.36(x + 19) Reorder the terms: 7.6 + 0.35x = 0.36(x + 19) Reorder the terms: 7.6 + 0.35x = 0.36(19 + x) 7.6 + 0.35x = (19 * 0.36 + x * 0.36) 7.6 + 0.35x = (6.84 + 0.36x) Solving 7.6 + 0.35x = 6.84 + 0.36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.36x' to each side of the equation. 7.6 + 0.35x + -0.36x = 6.84 + 0.36x + -0.36x Combine like terms: 0.35x + -0.36x = -0.01x 7.6 + -0.01x = 6.84 + 0.36x + -0.36x Combine like terms: 0.36x + -0.36x = 0.00 7.6 + -0.01x = 6.84 + 0.00 7.6 + -0.01x = 6.84 Add '-7.6' to each side of the equation. 7.6 + -7.6 + -0.01x = 6.84 + -7.6 Combine like terms: 7.6 + -7.6 = 0.0 0.0 + -0.01x = 6.84 + -7.6 -0.01x = 6.84 + -7.6 Combine like terms: 6.84 + -7.6 = -0.76 -0.01x = -0.76 Divide each side by '-0.01'. x = 76 Simplifying x = 76
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