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Simplifying 0.48x + 3 = 0.2(x + -6) Reorder the terms: 3 + 0.48x = 0.2(x + -6) Reorder the terms: 3 + 0.48x = 0.2(-6 + x) 3 + 0.48x = (-6 * 0.2 + x * 0.2) 3 + 0.48x = (-1.2 + 0.2x) Solving 3 + 0.48x = -1.2 + 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. 3 + 0.48x + -0.2x = -1.2 + 0.2x + -0.2x Combine like terms: 0.48x + -0.2x = 0.28x 3 + 0.28x = -1.2 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 3 + 0.28x = -1.2 + 0.0 3 + 0.28x = -1.2 Add '-3' to each side of the equation. 3 + -3 + 0.28x = -1.2 + -3 Combine like terms: 3 + -3 = 0 0 + 0.28x = -1.2 + -3 0.28x = -1.2 + -3 Combine like terms: -1.2 + -3 = -4.2 0.28x = -4.2 Divide each side by '0.28'. x = -15 Simplifying x = -15
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