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Simplifying 0.5x + 2.9 = 0.9x + -0.3 Reorder the terms: 2.9 + 0.5x = 0.9x + -0.3 Reorder the terms: 2.9 + 0.5x = -0.3 + 0.9x Solving 2.9 + 0.5x = -0.3 + 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. 2.9 + 0.5x + -0.9x = -0.3 + 0.9x + -0.9x Combine like terms: 0.5x + -0.9x = -0.4x 2.9 + -0.4x = -0.3 + 0.9x + -0.9x Combine like terms: 0.9x + -0.9x = 0.0 2.9 + -0.4x = -0.3 + 0.0 2.9 + -0.4x = -0.3 Add '-2.9' to each side of the equation. 2.9 + -2.9 + -0.4x = -0.3 + -2.9 Combine like terms: 2.9 + -2.9 = 0.0 0.0 + -0.4x = -0.3 + -2.9 -0.4x = -0.3 + -2.9 Combine like terms: -0.3 + -2.9 = -3.2 -0.4x = -3.2 Divide each side by '-0.4'. x = 8 Simplifying x = 8
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