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Simplifying 1.4x + -0.1 = 5.47 + 1.3x + -6.1 + -0.13 Reorder the terms: -0.1 + 1.4x = 5.47 + 1.3x + -6.1 + -0.13 Reorder the terms: -0.1 + 1.4x = 5.47 + -6.1 + -0.13 + 1.3x Combine like terms: 5.47 + -6.1 = -0.63 -0.1 + 1.4x = -0.63 + -0.13 + 1.3x Combine like terms: -0.63 + -0.13 = -0.76 -0.1 + 1.4x = -0.76 + 1.3x Solving -0.1 + 1.4x = -0.76 + 1.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.3x' to each side of the equation. -0.1 + 1.4x + -1.3x = -0.76 + 1.3x + -1.3x Combine like terms: 1.4x + -1.3x = 0.1x -0.1 + 0.1x = -0.76 + 1.3x + -1.3x Combine like terms: 1.3x + -1.3x = 0.0 -0.1 + 0.1x = -0.76 + 0.0 -0.1 + 0.1x = -0.76 Add '0.1' to each side of the equation. -0.1 + 0.1 + 0.1x = -0.76 + 0.1 Combine like terms: -0.1 + 0.1 = 0.0 0.0 + 0.1x = -0.76 + 0.1 0.1x = -0.76 + 0.1 Combine like terms: -0.76 + 0.1 = -0.66 0.1x = -0.66 Divide each side by '0.1'. x = -6.6 Simplifying x = -6.6
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