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Simplifying 4.6 + 1.9x = 94.6 + x Solving 4.6 + 1.9x = 94.6 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 4.6 + 1.9x + -1x = 94.6 + x + -1x Combine like terms: 1.9x + -1x = 0.9x 4.6 + 0.9x = 94.6 + x + -1x Combine like terms: x + -1x = 0 4.6 + 0.9x = 94.6 + 0 4.6 + 0.9x = 94.6 Add '-4.6' to each side of the equation. 4.6 + -4.6 + 0.9x = 94.6 + -4.6 Combine like terms: 4.6 + -4.6 = 0.0 0.0 + 0.9x = 94.6 + -4.6 0.9x = 94.6 + -4.6 Combine like terms: 94.6 + -4.6 = 90 0.9x = 90 Divide each side by '0.9'. x = 100 Simplifying x = 100
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