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Simplifying -0.5x + 2.14 = -0.9x + 0.54 Reorder the terms: 2.14 + -0.5x = -0.9x + 0.54 Reorder the terms: 2.14 + -0.5x = 0.54 + -0.9x Solving 2.14 + -0.5x = 0.54 + -0.9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.9x' to each side of the equation. 2.14 + -0.5x + 0.9x = 0.54 + -0.9x + 0.9x Combine like terms: -0.5x + 0.9x = 0.4x 2.14 + 0.4x = 0.54 + -0.9x + 0.9x Combine like terms: -0.9x + 0.9x = 0.0 2.14 + 0.4x = 0.54 + 0.0 2.14 + 0.4x = 0.54 Add '-2.14' to each side of the equation. 2.14 + -2.14 + 0.4x = 0.54 + -2.14 Combine like terms: 2.14 + -2.14 = 0.00 0.00 + 0.4x = 0.54 + -2.14 0.4x = 0.54 + -2.14 Combine like terms: 0.54 + -2.14 = -1.6 0.4x = -1.6 Divide each side by '0.4'. x = -4 Simplifying x = -4
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