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Simplifying -8.3x + 29 = 5.1x + 13 Reorder the terms: 29 + -8.3x = 5.1x + 13 Reorder the terms: 29 + -8.3x = 13 + 5.1x Solving 29 + -8.3x = 13 + 5.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.1x' to each side of the equation. 29 + -8.3x + -5.1x = 13 + 5.1x + -5.1x Combine like terms: -8.3x + -5.1x = -13.4x 29 + -13.4x = 13 + 5.1x + -5.1x Combine like terms: 5.1x + -5.1x = 0.0 29 + -13.4x = 13 + 0.0 29 + -13.4x = 13 Add '-29' to each side of the equation. 29 + -29 + -13.4x = 13 + -29 Combine like terms: 29 + -29 = 0 0 + -13.4x = 13 + -29 -13.4x = 13 + -29 Combine like terms: 13 + -29 = -16 -13.4x = -16 Divide each side by '-13.4'. x = 1.194029851 Simplifying x = 1.194029851
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