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Simplifying 0.1x + -0.3 = -1(0.3x + 4.1) Reorder the terms: -0.3 + 0.1x = -1(0.3x + 4.1) Reorder the terms: -0.3 + 0.1x = -1(4.1 + 0.3x) -0.3 + 0.1x = (4.1 * -1 + 0.3x * -1) -0.3 + 0.1x = (-4.1 + -0.3x) Solving -0.3 + 0.1x = -4.1 + -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. -0.3 + 0.1x + 0.3x = -4.1 + -0.3x + 0.3x Combine like terms: 0.1x + 0.3x = 0.4x -0.3 + 0.4x = -4.1 + -0.3x + 0.3x Combine like terms: -0.3x + 0.3x = 0.0 -0.3 + 0.4x = -4.1 + 0.0 -0.3 + 0.4x = -4.1 Add '0.3' to each side of the equation. -0.3 + 0.3 + 0.4x = -4.1 + 0.3 Combine like terms: -0.3 + 0.3 = 0.0 0.0 + 0.4x = -4.1 + 0.3 0.4x = -4.1 + 0.3 Combine like terms: -4.1 + 0.3 = -3.8 0.4x = -3.8 Divide each side by '0.4'. x = -9.5 Simplifying x = -9.5
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