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Simplifying 1.4x + -6 = 2.9x + 9 Reorder the terms: -6 + 1.4x = 2.9x + 9 Reorder the terms: -6 + 1.4x = 9 + 2.9x Solving -6 + 1.4x = 9 + 2.9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.9x' to each side of the equation. -6 + 1.4x + -2.9x = 9 + 2.9x + -2.9x Combine like terms: 1.4x + -2.9x = -1.5x -6 + -1.5x = 9 + 2.9x + -2.9x Combine like terms: 2.9x + -2.9x = 0.0 -6 + -1.5x = 9 + 0.0 -6 + -1.5x = 9 Add '6' to each side of the equation. -6 + 6 + -1.5x = 9 + 6 Combine like terms: -6 + 6 = 0 0 + -1.5x = 9 + 6 -1.5x = 9 + 6 Combine like terms: 9 + 6 = 15 -1.5x = 15 Divide each side by '-1.5'. x = -10 Simplifying x = -10
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