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Simplifying 0.5x + -2.9 = 2.4x + 1.6 Reorder the terms: -2.9 + 0.5x = 2.4x + 1.6 Reorder the terms: -2.9 + 0.5x = 1.6 + 2.4x Solving -2.9 + 0.5x = 1.6 + 2.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.4x' to each side of the equation. -2.9 + 0.5x + -2.4x = 1.6 + 2.4x + -2.4x Combine like terms: 0.5x + -2.4x = -1.9x -2.9 + -1.9x = 1.6 + 2.4x + -2.4x Combine like terms: 2.4x + -2.4x = 0.0 -2.9 + -1.9x = 1.6 + 0.0 -2.9 + -1.9x = 1.6 Add '2.9' to each side of the equation. -2.9 + 2.9 + -1.9x = 1.6 + 2.9 Combine like terms: -2.9 + 2.9 = 0.0 0.0 + -1.9x = 1.6 + 2.9 -1.9x = 1.6 + 2.9 Combine like terms: 1.6 + 2.9 = 4.5 -1.9x = 4.5 Divide each side by '-1.9'. x = -2.368421053 Simplifying x = -2.368421053
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