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Simplifying 1(x + -5) = 0.1(x + -5) Reorder the terms: 1(-5 + x) = 0.1(x + -5) (-5 * 1 + x * 1) = 0.1(x + -5) (-5 + 1x) = 0.1(x + -5) Reorder the terms: -5 + 1x = 0.1(-5 + x) -5 + 1x = (-5 * 0.1 + x * 0.1) -5 + 1x = (-0.5 + 0.1x) Solving -5 + 1x = -0.5 + 0.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.1x' to each side of the equation. -5 + 1x + -0.1x = -0.5 + 0.1x + -0.1x Combine like terms: 1x + -0.1x = 0.9x -5 + 0.9x = -0.5 + 0.1x + -0.1x Combine like terms: 0.1x + -0.1x = 0.0 -5 + 0.9x = -0.5 + 0.0 -5 + 0.9x = -0.5 Add '5' to each side of the equation. -5 + 5 + 0.9x = -0.5 + 5 Combine like terms: -5 + 5 = 0 0 + 0.9x = -0.5 + 5 0.9x = -0.5 + 5 Combine like terms: -0.5 + 5 = 4.5 0.9x = 4.5 Divide each side by '0.9'. x = 5 Simplifying x = 5
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