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Simplifying 3.4x + -47 = 2.6x + 5 Reorder the terms: -47 + 3.4x = 2.6x + 5 Reorder the terms: -47 + 3.4x = 5 + 2.6x Solving -47 + 3.4x = 5 + 2.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.6x' to each side of the equation. -47 + 3.4x + -2.6x = 5 + 2.6x + -2.6x Combine like terms: 3.4x + -2.6x = 0.8x -47 + 0.8x = 5 + 2.6x + -2.6x Combine like terms: 2.6x + -2.6x = 0.0 -47 + 0.8x = 5 + 0.0 -47 + 0.8x = 5 Add '47' to each side of the equation. -47 + 47 + 0.8x = 5 + 47 Combine like terms: -47 + 47 = 0 0 + 0.8x = 5 + 47 0.8x = 5 + 47 Combine like terms: 5 + 47 = 52 0.8x = 52 Divide each side by '0.8'. x = 65 Simplifying x = 65
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