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Simplifying 0.3x + 7.0 = 0.55(x + 10) Reorder the terms: 7.0 + 0.3x = 0.55(x + 10) Reorder the terms: 7.0 + 0.3x = 0.55(10 + x) 7.0 + 0.3x = (10 * 0.55 + x * 0.55) 7.0 + 0.3x = (5.5 + 0.55x) Solving 7.0 + 0.3x = 5.5 + 0.55x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.55x' to each side of the equation. 7.0 + 0.3x + -0.55x = 5.5 + 0.55x + -0.55x Combine like terms: 0.3x + -0.55x = -0.25x 7.0 + -0.25x = 5.5 + 0.55x + -0.55x Combine like terms: 0.55x + -0.55x = 0.00 7.0 + -0.25x = 5.5 + 0.00 7.0 + -0.25x = 5.5 Add '-7.0' to each side of the equation. 7.0 + -7.0 + -0.25x = 5.5 + -7.0 Combine like terms: 7.0 + -7.0 = 0.0 0.0 + -0.25x = 5.5 + -7.0 -0.25x = 5.5 + -7.0 Combine like terms: 5.5 + -7.0 = -1.5 -0.25x = -1.5 Divide each side by '-0.25'. x = 6 Simplifying x = 6
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