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Simplifying 2.9x + -40 = 1.4x + 8 Reorder the terms: -40 + 2.9x = 1.4x + 8 Reorder the terms: -40 + 2.9x = 8 + 1.4x Solving -40 + 2.9x = 8 + 1.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.4x' to each side of the equation. -40 + 2.9x + -1.4x = 8 + 1.4x + -1.4x Combine like terms: 2.9x + -1.4x = 1.5x -40 + 1.5x = 8 + 1.4x + -1.4x Combine like terms: 1.4x + -1.4x = 0.0 -40 + 1.5x = 8 + 0.0 -40 + 1.5x = 8 Add '40' to each side of the equation. -40 + 40 + 1.5x = 8 + 40 Combine like terms: -40 + 40 = 0 0 + 1.5x = 8 + 40 1.5x = 8 + 40 Combine like terms: 8 + 40 = 48 1.5x = 48 Divide each side by '1.5'. x = 32 Simplifying x = 32
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