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Simplifying 0.5x + -1.7 = 2.1x + 2.9 Reorder the terms: -1.7 + 0.5x = 2.1x + 2.9 Reorder the terms: -1.7 + 0.5x = 2.9 + 2.1x Solving -1.7 + 0.5x = 2.9 + 2.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.1x' to each side of the equation. -1.7 + 0.5x + -2.1x = 2.9 + 2.1x + -2.1x Combine like terms: 0.5x + -2.1x = -1.6x -1.7 + -1.6x = 2.9 + 2.1x + -2.1x Combine like terms: 2.1x + -2.1x = 0.0 -1.7 + -1.6x = 2.9 + 0.0 -1.7 + -1.6x = 2.9 Add '1.7' to each side of the equation. -1.7 + 1.7 + -1.6x = 2.9 + 1.7 Combine like terms: -1.7 + 1.7 = 0.0 0.0 + -1.6x = 2.9 + 1.7 -1.6x = 2.9 + 1.7 Combine like terms: 2.9 + 1.7 = 4.6 -1.6x = 4.6 Divide each side by '-1.6'. x = -2.875 Simplifying x = -2.875
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