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Simplifying 0.5x + -5 = 1.4x + 6 Reorder the terms: -5 + 0.5x = 1.4x + 6 Reorder the terms: -5 + 0.5x = 6 + 1.4x Solving -5 + 0.5x = 6 + 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. -5 + 0.5x + -1.4x = 6 + 1.4x + -1.4x Combine like terms: 0.5x + -1.4x = -0.9x -5 + -0.9x = 6 + 1.4x + -1.4x Combine like terms: 1.4x + -1.4x = 0.0 -5 + -0.9x = 6 + 0.0 -5 + -0.9x = 6 Add '5' to each side of the equation. -5 + 5 + -0.9x = 6 + 5 Combine like terms: -5 + 5 = 0 0 + -0.9x = 6 + 5 -0.9x = 6 + 5 Combine like terms: 6 + 5 = 11 -0.9x = 11 Divide each side by '-0.9'. x = -12.22222222 Simplifying x = -12.22222222
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