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Simplifying 1.4x + 11 = 1.9x + 7.5 Reorder the terms: 11 + 1.4x = 1.9x + 7.5 Reorder the terms: 11 + 1.4x = 7.5 + 1.9x Solving 11 + 1.4x = 7.5 + 1.9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.9x' to each side of the equation. 11 + 1.4x + -1.9x = 7.5 + 1.9x + -1.9x Combine like terms: 1.4x + -1.9x = -0.5x 11 + -0.5x = 7.5 + 1.9x + -1.9x Combine like terms: 1.9x + -1.9x = 0.0 11 + -0.5x = 7.5 + 0.0 11 + -0.5x = 7.5 Add '-11' to each side of the equation. 11 + -11 + -0.5x = 7.5 + -11 Combine like terms: 11 + -11 = 0 0 + -0.5x = 7.5 + -11 -0.5x = 7.5 + -11 Combine like terms: 7.5 + -11 = -3.5 -0.5x = -3.5 Divide each side by '-0.5'. x = 7 Simplifying x = 7
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