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Simplifying 0.9x + -19 = 1.4x + -24 Reorder the terms: -19 + 0.9x = 1.4x + -24 Reorder the terms: -19 + 0.9x = -24 + 1.4x Solving -19 + 0.9x = -24 + 1.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.4x' to each side of the equation. -19 + 0.9x + -1.4x = -24 + 1.4x + -1.4x Combine like terms: 0.9x + -1.4x = -0.5x -19 + -0.5x = -24 + 1.4x + -1.4x Combine like terms: 1.4x + -1.4x = 0.0 -19 + -0.5x = -24 + 0.0 -19 + -0.5x = -24 Add '19' to each side of the equation. -19 + 19 + -0.5x = -24 + 19 Combine like terms: -19 + 19 = 0 0 + -0.5x = -24 + 19 -0.5x = -24 + 19 Combine like terms: -24 + 19 = -5 -0.5x = -5 Divide each side by '-0.5'. x = 10 Simplifying x = 10
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