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Simplifying -0.5x + -0.1(6 + -3x) + 1.5 = -1.2 -0.5x + (6 * -0.1 + -3x * -0.1) + 1.5 = -1.2 -0.5x + (-0.6 + 0.3x) + 1.5 = -1.2 Reorder the terms: -0.6 + 1.5 + -0.5x + 0.3x = -1.2 Combine like terms: -0.6 + 1.5 = 0.9 0.9 + -0.5x + 0.3x = -1.2 Combine like terms: -0.5x + 0.3x = -0.2x 0.9 + -0.2x = -1.2 Solving 0.9 + -0.2x = -1.2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.9' to each side of the equation. 0.9 + -0.9 + -0.2x = -1.2 + -0.9 Combine like terms: 0.9 + -0.9 = 0.0 0.0 + -0.2x = -1.2 + -0.9 -0.2x = -1.2 + -0.9 Combine like terms: -1.2 + -0.9 = -2.1 -0.2x = -2.1 Divide each side by '-0.2'. x = 10.5 Simplifying x = 10.5
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