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Simplifying 0.35x + 0.40(4) = 0.39(x + 4) Multiply 0.40 * 4 0.35x + 1.6 = 0.39(x + 4) Reorder the terms: 1.6 + 0.35x = 0.39(x + 4) Reorder the terms: 1.6 + 0.35x = 0.39(4 + x) 1.6 + 0.35x = (4 * 0.39 + x * 0.39) 1.6 + 0.35x = (1.56 + 0.39x) Solving 1.6 + 0.35x = 1.56 + 0.39x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.39x' to each side of the equation. 1.6 + 0.35x + -0.39x = 1.56 + 0.39x + -0.39x Combine like terms: 0.35x + -0.39x = -0.04x 1.6 + -0.04x = 1.56 + 0.39x + -0.39x Combine like terms: 0.39x + -0.39x = 0.00 1.6 + -0.04x = 1.56 + 0.00 1.6 + -0.04x = 1.56 Add '-1.6' to each side of the equation. 1.6 + -1.6 + -0.04x = 1.56 + -1.6 Combine like terms: 1.6 + -1.6 = 0.0 0.0 + -0.04x = 1.56 + -1.6 -0.04x = 1.56 + -1.6 Combine like terms: 1.56 + -1.6 = -0.04 -0.04x = -0.04 Divide each side by '-0.04'. x = 1 Simplifying x = 1
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