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Simplifying 0.2(x + -3) = 0.3x + 5 + -3 + 0.1x Reorder the terms: 0.2(-3 + x) = 0.3x + 5 + -3 + 0.1x (-3 * 0.2 + x * 0.2) = 0.3x + 5 + -3 + 0.1x (-0.6 + 0.2x) = 0.3x + 5 + -3 + 0.1x Reorder the terms: -0.6 + 0.2x = 5 + -3 + 0.3x + 0.1x Combine like terms: 5 + -3 = 2 -0.6 + 0.2x = 2 + 0.3x + 0.1x Combine like terms: 0.3x + 0.1x = 0.4x -0.6 + 0.2x = 2 + 0.4x Solving -0.6 + 0.2x = 2 + 0.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.4x' to each side of the equation. -0.6 + 0.2x + -0.4x = 2 + 0.4x + -0.4x Combine like terms: 0.2x + -0.4x = -0.2x -0.6 + -0.2x = 2 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 -0.6 + -0.2x = 2 + 0.0 -0.6 + -0.2x = 2 Add '0.6' to each side of the equation. -0.6 + 0.6 + -0.2x = 2 + 0.6 Combine like terms: -0.6 + 0.6 = 0.0 0.0 + -0.2x = 2 + 0.6 -0.2x = 2 + 0.6 Combine like terms: 2 + 0.6 = 2.6 -0.2x = 2.6 Divide each side by '-0.2'. x = -13 Simplifying x = -13
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