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Simplifying 0.4x + -13 = 1.2x + -17 Reorder the terms: -13 + 0.4x = 1.2x + -17 Reorder the terms: -13 + 0.4x = -17 + 1.2x Solving -13 + 0.4x = -17 + 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. -13 + 0.4x + -1.2x = -17 + 1.2x + -1.2x Combine like terms: 0.4x + -1.2x = -0.8x -13 + -0.8x = -17 + 1.2x + -1.2x Combine like terms: 1.2x + -1.2x = 0.0 -13 + -0.8x = -17 + 0.0 -13 + -0.8x = -17 Add '13' to each side of the equation. -13 + 13 + -0.8x = -17 + 13 Combine like terms: -13 + 13 = 0 0 + -0.8x = -17 + 13 -0.8x = -17 + 13 Combine like terms: -17 + 13 = -4 -0.8x = -4 Divide each side by '-0.8'. x = 5 Simplifying x = 5
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