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Simplifying -0.10(19) + 0.45 = 0.05(x + -6) Multiply -0.10 * 19 -1.9 + 0.45 = 0.05(x + -6) Combine like terms: -1.9 + 0.45 = -1.45 -1.45 = 0.05(x + -6) Reorder the terms: -1.45 = 0.05(-6 + x) -1.45 = (-6 * 0.05 + x * 0.05) -1.45 = (-0.3 + 0.05x) Solving -1.45 = -0.3 + 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. -1.45 + -0.05x = -0.3 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -1.45 + -0.05x = -0.3 + 0.00 -1.45 + -0.05x = -0.3 Add '1.45' to each side of the equation. -1.45 + 1.45 + -0.05x = -0.3 + 1.45 Combine like terms: -1.45 + 1.45 = 0.00 0.00 + -0.05x = -0.3 + 1.45 -0.05x = -0.3 + 1.45 Combine like terms: -0.3 + 1.45 = 1.15 -0.05x = 1.15 Divide each side by '-0.05'. x = -23 Simplifying x = -23
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