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Simplifying 0.4x + -1.4 = 4.6x + 2.9 Reorder the terms: -1.4 + 0.4x = 4.6x + 2.9 Reorder the terms: -1.4 + 0.4x = 2.9 + 4.6x Solving -1.4 + 0.4x = 2.9 + 4.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.6x' to each side of the equation. -1.4 + 0.4x + -4.6x = 2.9 + 4.6x + -4.6x Combine like terms: 0.4x + -4.6x = -4.2x -1.4 + -4.2x = 2.9 + 4.6x + -4.6x Combine like terms: 4.6x + -4.6x = 0.0 -1.4 + -4.2x = 2.9 + 0.0 -1.4 + -4.2x = 2.9 Add '1.4' to each side of the equation. -1.4 + 1.4 + -4.2x = 2.9 + 1.4 Combine like terms: -1.4 + 1.4 = 0.0 0.0 + -4.2x = 2.9 + 1.4 -4.2x = 2.9 + 1.4 Combine like terms: 2.9 + 1.4 = 4.3 -4.2x = 4.3 Divide each side by '-4.2'. x = -1.023809524 Simplifying x = -1.023809524
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