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Simplifying 4x + 6.9 = 5x + -6.1 Reorder the terms: 6.9 + 4x = 5x + -6.1 Reorder the terms: 6.9 + 4x = -6.1 + 5x Solving 6.9 + 4x = -6.1 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 6.9 + 4x + -5x = -6.1 + 5x + -5x Combine like terms: 4x + -5x = -1x 6.9 + -1x = -6.1 + 5x + -5x Combine like terms: 5x + -5x = 0 6.9 + -1x = -6.1 + 0 6.9 + -1x = -6.1 Add '-6.9' to each side of the equation. 6.9 + -6.9 + -1x = -6.1 + -6.9 Combine like terms: 6.9 + -6.9 = 0.0 0.0 + -1x = -6.1 + -6.9 -1x = -6.1 + -6.9 Combine like terms: -6.1 + -6.9 = -13 -1x = -13 Divide each side by '-1'. x = 13 Simplifying x = 13
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