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Simplifying -0.10(3) + 0.15x = 0.05(x + -2) Multiply -0.10 * 3 -0.3 + 0.15x = 0.05(x + -2) Reorder the terms: -0.3 + 0.15x = 0.05(-2 + x) -0.3 + 0.15x = (-2 * 0.05 + x * 0.05) -0.3 + 0.15x = (-0.1 + 0.05x) Solving -0.3 + 0.15x = -0.1 + 0.05x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.05x' to each side of the equation. -0.3 + 0.15x + -0.05x = -0.1 + 0.05x + -0.05x Combine like terms: 0.15x + -0.05x = 0.1x -0.3 + 0.1x = -0.1 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -0.3 + 0.1x = -0.1 + 0.00 -0.3 + 0.1x = -0.1 Add '0.3' to each side of the equation. -0.3 + 0.3 + 0.1x = -0.1 + 0.3 Combine like terms: -0.3 + 0.3 = 0.0 0.0 + 0.1x = -0.1 + 0.3 0.1x = -0.1 + 0.3 Combine like terms: -0.1 + 0.3 = 0.2 0.1x = 0.2 Divide each side by '0.1'. x = 2 Simplifying x = 2
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