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Simplifying 3(x + 0.2) = 2(x + -0.3) + 4.3 Reorder the terms: 3(0.2 + x) = 2(x + -0.3) + 4.3 (0.2 * 3 + x * 3) = 2(x + -0.3) + 4.3 (0.6 + 3x) = 2(x + -0.3) + 4.3 Reorder the terms: 0.6 + 3x = 2(-0.3 + x) + 4.3 0.6 + 3x = (-0.3 * 2 + x * 2) + 4.3 0.6 + 3x = (-0.6 + 2x) + 4.3 Reorder the terms: 0.6 + 3x = -0.6 + 4.3 + 2x Combine like terms: -0.6 + 4.3 = 3.7 0.6 + 3x = 3.7 + 2x Solving 0.6 + 3x = 3.7 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 0.6 + 3x + -2x = 3.7 + 2x + -2x Combine like terms: 3x + -2x = 1x 0.6 + 1x = 3.7 + 2x + -2x Combine like terms: 2x + -2x = 0 0.6 + 1x = 3.7 + 0 0.6 + 1x = 3.7 Add '-0.6' to each side of the equation. 0.6 + -0.6 + 1x = 3.7 + -0.6 Combine like terms: 0.6 + -0.6 = 0.0 0.0 + 1x = 3.7 + -0.6 1x = 3.7 + -0.6 Combine like terms: 3.7 + -0.6 = 3.1 1x = 3.1 Divide each side by '1'. x = 3.1 Simplifying x = 3.1
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