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Simplifying 2.9x + -4.3 + 3x = 2.8 + 4.3x + -10.5 Reorder the terms: -4.3 + 2.9x + 3x = 2.8 + 4.3x + -10.5 Combine like terms: 2.9x + 3x = 5.9x -4.3 + 5.9x = 2.8 + 4.3x + -10.5 Reorder the terms: -4.3 + 5.9x = 2.8 + -10.5 + 4.3x Combine like terms: 2.8 + -10.5 = -7.7 -4.3 + 5.9x = -7.7 + 4.3x Solving -4.3 + 5.9x = -7.7 + 4.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.3x' to each side of the equation. -4.3 + 5.9x + -4.3x = -7.7 + 4.3x + -4.3x Combine like terms: 5.9x + -4.3x = 1.6x -4.3 + 1.6x = -7.7 + 4.3x + -4.3x Combine like terms: 4.3x + -4.3x = 0.0 -4.3 + 1.6x = -7.7 + 0.0 -4.3 + 1.6x = -7.7 Add '4.3' to each side of the equation. -4.3 + 4.3 + 1.6x = -7.7 + 4.3 Combine like terms: -4.3 + 4.3 = 0.0 0.0 + 1.6x = -7.7 + 4.3 1.6x = -7.7 + 4.3 Combine like terms: -7.7 + 4.3 = -3.4 1.6x = -3.4 Divide each side by '1.6'. x = -2.125 Simplifying x = -2.125
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