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Simplifying 0.05x + -106 = 0.2(x + -5) Reorder the terms: -106 + 0.05x = 0.2(x + -5) Reorder the terms: -106 + 0.05x = 0.2(-5 + x) -106 + 0.05x = (-5 * 0.2 + x * 0.2) -106 + 0.05x = (-1 + 0.2x) Solving -106 + 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. -106 + 0.05x + -0.2x = -1 + 0.2x + -0.2x Combine like terms: 0.05x + -0.2x = -0.15x -106 + -0.15x = -1 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 -106 + -0.15x = -1 + 0.0 -106 + -0.15x = -1 Add '106' to each side of the equation. -106 + 106 + -0.15x = -1 + 106 Combine like terms: -106 + 106 = 0 0 + -0.15x = -1 + 106 -0.15x = -1 + 106 Combine like terms: -1 + 106 = 105 -0.15x = 105 Divide each side by '-0.15'. x = -700 Simplifying x = -700
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