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Simplifying 0.1x + -0.2(3x + 4) = -0.3(5x + 3) Reorder the terms: 0.1x + -0.2(4 + 3x) = -0.3(5x + 3) 0.1x + (4 * -0.2 + 3x * -0.2) = -0.3(5x + 3) 0.1x + (-0.8 + -0.6x) = -0.3(5x + 3) Reorder the terms: -0.8 + 0.1x + -0.6x = -0.3(5x + 3) Combine like terms: 0.1x + -0.6x = -0.5x -0.8 + -0.5x = -0.3(5x + 3) Reorder the terms: -0.8 + -0.5x = -0.3(3 + 5x) -0.8 + -0.5x = (3 * -0.3 + 5x * -0.3) -0.8 + -0.5x = (-0.9 + -1.5x) Solving -0.8 + -0.5x = -0.9 + -1.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.5x' to each side of the equation. -0.8 + -0.5x + 1.5x = -0.9 + -1.5x + 1.5x Combine like terms: -0.5x + 1.5x = 1x -0.8 + 1x = -0.9 + -1.5x + 1.5x Combine like terms: -1.5x + 1.5x = 0.0 -0.8 + 1x = -0.9 + 0.0 -0.8 + 1x = -0.9 Add '0.8' to each side of the equation. -0.8 + 0.8 + 1x = -0.9 + 0.8 Combine like terms: -0.8 + 0.8 = 0.0 0.0 + 1x = -0.9 + 0.8 1x = -0.9 + 0.8 Combine like terms: -0.9 + 0.8 = -0.1 1x = -0.1 Divide each side by '1'. x = -0.1 Simplifying x = -0.1
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