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Simplifying 2.9x + 6 = 9.4x + -7 Reorder the terms: 6 + 2.9x = 9.4x + -7 Reorder the terms: 6 + 2.9x = -7 + 9.4x Solving 6 + 2.9x = -7 + 9.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9.4x' to each side of the equation. 6 + 2.9x + -9.4x = -7 + 9.4x + -9.4x Combine like terms: 2.9x + -9.4x = -6.5x 6 + -6.5x = -7 + 9.4x + -9.4x Combine like terms: 9.4x + -9.4x = 0.0 6 + -6.5x = -7 + 0.0 6 + -6.5x = -7 Add '-6' to each side of the equation. 6 + -6 + -6.5x = -7 + -6 Combine like terms: 6 + -6 = 0 0 + -6.5x = -7 + -6 -6.5x = -7 + -6 Combine like terms: -7 + -6 = -13 -6.5x = -13 Divide each side by '-6.5'. x = 2 Simplifying x = 2
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