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Simplifying 6.9x + 1 = 4.5x + -11 Reorder the terms: 1 + 6.9x = 4.5x + -11 Reorder the terms: 1 + 6.9x = -11 + 4.5x Solving 1 + 6.9x = -11 + 4.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.5x' to each side of the equation. 1 + 6.9x + -4.5x = -11 + 4.5x + -4.5x Combine like terms: 6.9x + -4.5x = 2.4x 1 + 2.4x = -11 + 4.5x + -4.5x Combine like terms: 4.5x + -4.5x = 0.0 1 + 2.4x = -11 + 0.0 1 + 2.4x = -11 Add '-1' to each side of the equation. 1 + -1 + 2.4x = -11 + -1 Combine like terms: 1 + -1 = 0 0 + 2.4x = -11 + -1 2.4x = -11 + -1 Combine like terms: -11 + -1 = -12 2.4x = -12 Divide each side by '2.4'. x = -5 Simplifying x = -5
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