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Simplifying -1.4x + -2.5 + 2.8x = -52 + -0.6x + 4x + -0.5 Reorder the terms: -2.5 + -1.4x + 2.8x = -52 + -0.6x + 4x + -0.5 Combine like terms: -1.4x + 2.8x = 1.4x -2.5 + 1.4x = -52 + -0.6x + 4x + -0.5 Reorder the terms: -2.5 + 1.4x = -52 + -0.5 + -0.6x + 4x Combine like terms: -52 + -0.5 = -52.5 -2.5 + 1.4x = -52.5 + -0.6x + 4x Combine like terms: -0.6x + 4x = 3.4x -2.5 + 1.4x = -52.5 + 3.4x Solving -2.5 + 1.4x = -52.5 + 3.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.4x' to each side of the equation. -2.5 + 1.4x + -3.4x = -52.5 + 3.4x + -3.4x Combine like terms: 1.4x + -3.4x = -2x -2.5 + -2x = -52.5 + 3.4x + -3.4x Combine like terms: 3.4x + -3.4x = 0.0 -2.5 + -2x = -52.5 + 0.0 -2.5 + -2x = -52.5 Add '2.5' to each side of the equation. -2.5 + 2.5 + -2x = -52.5 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + -2x = -52.5 + 2.5 -2x = -52.5 + 2.5 Combine like terms: -52.5 + 2.5 = -50 -2x = -50 Divide each side by '-2'. x = 25 Simplifying x = 25
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