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Simplifying 0.8x + -19 = 1.2x + -21 Reorder the terms: -19 + 0.8x = 1.2x + -21 Reorder the terms: -19 + 0.8x = -21 + 1.2x Solving -19 + 0.8x = -21 + 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. -19 + 0.8x + -1.2x = -21 + 1.2x + -1.2x Combine like terms: 0.8x + -1.2x = -0.4x -19 + -0.4x = -21 + 1.2x + -1.2x Combine like terms: 1.2x + -1.2x = 0.0 -19 + -0.4x = -21 + 0.0 -19 + -0.4x = -21 Add '19' to each side of the equation. -19 + 19 + -0.4x = -21 + 19 Combine like terms: -19 + 19 = 0 0 + -0.4x = -21 + 19 -0.4x = -21 + 19 Combine like terms: -21 + 19 = -2 -0.4x = -2 Divide each side by '-0.4'. x = 5 Simplifying x = 5
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