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Simplifying 0.8 + 0.18 + -0.4 = 0.3(x + 0.2) Combine like terms: 0.8 + 0.18 = 0.98 0.98 + -0.4 = 0.3(x + 0.2) Combine like terms: 0.98 + -0.4 = 0.58 0.58 = 0.3(x + 0.2) Reorder the terms: 0.58 = 0.3(0.2 + x) 0.58 = (0.2 * 0.3 + x * 0.3) 0.58 = (0.06 + 0.3x) Solving 0.58 = 0.06 + 0.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.3x' to each side of the equation. 0.58 + -0.3x = 0.06 + 0.3x + -0.3x Combine like terms: 0.3x + -0.3x = 0.0 0.58 + -0.3x = 0.06 + 0.0 0.58 + -0.3x = 0.06 Add '-0.58' to each side of the equation. 0.58 + -0.58 + -0.3x = 0.06 + -0.58 Combine like terms: 0.58 + -0.58 = 0.00 0.00 + -0.3x = 0.06 + -0.58 -0.3x = 0.06 + -0.58 Combine like terms: 0.06 + -0.58 = -0.52 -0.3x = -0.52 Divide each side by '-0.3'. x = 1.733333333 Simplifying x = 1.733333333
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