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Simplifying -0.9x + 2.84 = -0.4x + 7.34 Reorder the terms: 2.84 + -0.9x = -0.4x + 7.34 Reorder the terms: 2.84 + -0.9x = 7.34 + -0.4x Solving 2.84 + -0.9x = 7.34 + -0.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.4x' to each side of the equation. 2.84 + -0.9x + 0.4x = 7.34 + -0.4x + 0.4x Combine like terms: -0.9x + 0.4x = -0.5x 2.84 + -0.5x = 7.34 + -0.4x + 0.4x Combine like terms: -0.4x + 0.4x = 0.0 2.84 + -0.5x = 7.34 + 0.0 2.84 + -0.5x = 7.34 Add '-2.84' to each side of the equation. 2.84 + -2.84 + -0.5x = 7.34 + -2.84 Combine like terms: 2.84 + -2.84 = 0.00 0.00 + -0.5x = 7.34 + -2.84 -0.5x = 7.34 + -2.84 Combine like terms: 7.34 + -2.84 = 4.5 -0.5x = 4.5 Divide each side by '-0.5'. x = -9 Simplifying x = -9
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