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Simplifying 2.9x + 54.7 = 16.0 + -10.0x Reorder the terms: 54.7 + 2.9x = 16.0 + -10.0x Solving 54.7 + 2.9x = 16.0 + -10.0x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10.0x' to each side of the equation. 54.7 + 2.9x + 10.0x = 16.0 + -10.0x + 10.0x Combine like terms: 2.9x + 10.0x = 12.9x 54.7 + 12.9x = 16.0 + -10.0x + 10.0x Combine like terms: -10.0x + 10.0x = 0.0 54.7 + 12.9x = 16.0 + 0.0 54.7 + 12.9x = 16.0 Add '-54.7' to each side of the equation. 54.7 + -54.7 + 12.9x = 16.0 + -54.7 Combine like terms: 54.7 + -54.7 = 0.0 0.0 + 12.9x = 16.0 + -54.7 12.9x = 16.0 + -54.7 Combine like terms: 16.0 + -54.7 = -38.7 12.9x = -38.7 Divide each side by '12.9'. x = -3 Simplifying x = -3
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