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Simplifying 1.2x + 2.9 = 1.6x + 2.5 Reorder the terms: 2.9 + 1.2x = 1.6x + 2.5 Reorder the terms: 2.9 + 1.2x = 2.5 + 1.6x Solving 2.9 + 1.2x = 2.5 + 1.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.6x' to each side of the equation. 2.9 + 1.2x + -1.6x = 2.5 + 1.6x + -1.6x Combine like terms: 1.2x + -1.6x = -0.4x 2.9 + -0.4x = 2.5 + 1.6x + -1.6x Combine like terms: 1.6x + -1.6x = 0.0 2.9 + -0.4x = 2.5 + 0.0 2.9 + -0.4x = 2.5 Add '-2.9' to each side of the equation. 2.9 + -2.9 + -0.4x = 2.5 + -2.9 Combine like terms: 2.9 + -2.9 = 0.0 0.0 + -0.4x = 2.5 + -2.9 -0.4x = 2.5 + -2.9 Combine like terms: 2.5 + -2.9 = -0.4 -0.4x = -0.4 Divide each side by '-0.4'. x = 1 Simplifying x = 1
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