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Simplifying 0.4x + 3 = 1.2x + -13 Reorder the terms: 3 + 0.4x = 1.2x + -13 Reorder the terms: 3 + 0.4x = -13 + 1.2x Solving 3 + 0.4x = -13 + 1.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.2x' to each side of the equation. 3 + 0.4x + -1.2x = -13 + 1.2x + -1.2x Combine like terms: 0.4x + -1.2x = -0.8x 3 + -0.8x = -13 + 1.2x + -1.2x Combine like terms: 1.2x + -1.2x = 0.0 3 + -0.8x = -13 + 0.0 3 + -0.8x = -13 Add '-3' to each side of the equation. 3 + -3 + -0.8x = -13 + -3 Combine like terms: 3 + -3 = 0 0 + -0.8x = -13 + -3 -0.8x = -13 + -3 Combine like terms: -13 + -3 = -16 -0.8x = -16 Divide each side by '-0.8'. x = 20 Simplifying x = 20
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