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Simplifying 0.05x + -1.45 = 0.2(x + -5) Reorder the terms: -1.45 + 0.05x = 0.2(x + -5) Reorder the terms: -1.45 + 0.05x = 0.2(-5 + x) -1.45 + 0.05x = (-5 * 0.2 + x * 0.2) -1.45 + 0.05x = (-1 + 0.2x) Solving -1.45 + 0.05x = -1 + 0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2x' to each side of the equation. -1.45 + 0.05x + -0.2x = -1 + 0.2x + -0.2x Combine like terms: 0.05x + -0.2x = -0.15x -1.45 + -0.15x = -1 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 -1.45 + -0.15x = -1 + 0.0 -1.45 + -0.15x = -1 Add '1.45' to each side of the equation. -1.45 + 1.45 + -0.15x = -1 + 1.45 Combine like terms: -1.45 + 1.45 = 0.00 0.00 + -0.15x = -1 + 1.45 -0.15x = -1 + 1.45 Combine like terms: -1 + 1.45 = 0.45 -0.15x = 0.45 Divide each side by '-0.15'. x = -3 Simplifying x = -3
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