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Simplifying 0.6x + -2.9 = 1 + -4 + -1x + -0.5 Reorder the terms: -2.9 + 0.6x = 1 + -4 + -1x + -0.5 Reorder the terms: -2.9 + 0.6x = 1 + -4 + -0.5 + -1x Combine like terms: 1 + -4 = -3 -2.9 + 0.6x = -3 + -0.5 + -1x Combine like terms: -3 + -0.5 = -3.5 -2.9 + 0.6x = -3.5 + -1x Solving -2.9 + 0.6x = -3.5 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -2.9 + 0.6x + x = -3.5 + -1x + x Combine like terms: 0.6x + x = 1.6x -2.9 + 1.6x = -3.5 + -1x + x Combine like terms: -1x + x = 0 -2.9 + 1.6x = -3.5 + 0 -2.9 + 1.6x = -3.5 Add '2.9' to each side of the equation. -2.9 + 2.9 + 1.6x = -3.5 + 2.9 Combine like terms: -2.9 + 2.9 = 0.0 0.0 + 1.6x = -3.5 + 2.9 1.6x = -3.5 + 2.9 Combine like terms: -3.5 + 2.9 = -0.6 1.6x = -0.6 Divide each side by '1.6'. x = -0.375 Simplifying x = -0.375
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