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Simplifying 0.3x + 5.3 = -1.1x + -1.7 Reorder the terms: 5.3 + 0.3x = -1.1x + -1.7 Reorder the terms: 5.3 + 0.3x = -1.7 + -1.1x Solving 5.3 + 0.3x = -1.7 + -1.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.1x' to each side of the equation. 5.3 + 0.3x + 1.1x = -1.7 + -1.1x + 1.1x Combine like terms: 0.3x + 1.1x = 1.4x 5.3 + 1.4x = -1.7 + -1.1x + 1.1x Combine like terms: -1.1x + 1.1x = 0.0 5.3 + 1.4x = -1.7 + 0.0 5.3 + 1.4x = -1.7 Add '-5.3' to each side of the equation. 5.3 + -5.3 + 1.4x = -1.7 + -5.3 Combine like terms: 5.3 + -5.3 = 0.0 0.0 + 1.4x = -1.7 + -5.3 1.4x = -1.7 + -5.3 Combine like terms: -1.7 + -5.3 = -7 1.4x = -7 Divide each side by '1.4'. x = -5 Simplifying x = -5
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