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Simplifying 0.1x + 5 = 0.4(x + 15) Reorder the terms: 5 + 0.1x = 0.4(x + 15) Reorder the terms: 5 + 0.1x = 0.4(15 + x) 5 + 0.1x = (15 * 0.4 + x * 0.4) 5 + 0.1x = (6 + 0.4x) Solving 5 + 0.1x = 6 + 0.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.4x' to each side of the equation. 5 + 0.1x + -0.4x = 6 + 0.4x + -0.4x Combine like terms: 0.1x + -0.4x = -0.3x 5 + -0.3x = 6 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 5 + -0.3x = 6 + 0.0 5 + -0.3x = 6 Add '-5' to each side of the equation. 5 + -5 + -0.3x = 6 + -5 Combine like terms: 5 + -5 = 0 0 + -0.3x = 6 + -5 -0.3x = 6 + -5 Combine like terms: 6 + -5 = 1 -0.3x = 1 Divide each side by '-0.3'. x = -3.333333333 Simplifying x = -3.333333333
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