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Simplifying 3.4 + 1.19 + 0.15x = 4.99 + 0.10x Combine like terms: 3.4 + 1.19 = 4.59 4.59 + 0.15x = 4.99 + 0.10x Solving 4.59 + 0.15x = 4.99 + 0.10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.10x' to each side of the equation. 4.59 + 0.15x + -0.10x = 4.99 + 0.10x + -0.10x Combine like terms: 0.15x + -0.10x = 0.05x 4.59 + 0.05x = 4.99 + 0.10x + -0.10x Combine like terms: 0.10x + -0.10x = 0.00 4.59 + 0.05x = 4.99 + 0.00 4.59 + 0.05x = 4.99 Add '-4.59' to each side of the equation. 4.59 + -4.59 + 0.05x = 4.99 + -4.59 Combine like terms: 4.59 + -4.59 = 0.00 0.00 + 0.05x = 4.99 + -4.59 0.05x = 4.99 + -4.59 Combine like terms: 4.99 + -4.59 = 0.4 0.05x = 0.4 Divide each side by '0.05'. x = 8 Simplifying x = 8
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