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Simplifying 0.1(x + -4) = 5 + x Reorder the terms: 0.1(-4 + x) = 5 + x (-4 * 0.1 + x * 0.1) = 5 + x (-0.4 + 0.1x) = 5 + x Solving -0.4 + 0.1x = 5 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -0.4 + 0.1x + -1x = 5 + x + -1x Combine like terms: 0.1x + -1x = -0.9x -0.4 + -0.9x = 5 + x + -1x Combine like terms: x + -1x = 0 -0.4 + -0.9x = 5 + 0 -0.4 + -0.9x = 5 Add '0.4' to each side of the equation. -0.4 + 0.4 + -0.9x = 5 + 0.4 Combine like terms: -0.4 + 0.4 = 0.0 0.0 + -0.9x = 5 + 0.4 -0.9x = 5 + 0.4 Combine like terms: 5 + 0.4 = 5.4 -0.9x = 5.4 Divide each side by '-0.9'. x = -6 Simplifying x = -6
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