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Simplifying 0.9x + -6 = -4 + 1.4x + -2 + -0.6x Reorder the terms: -6 + 0.9x = -4 + 1.4x + -2 + -0.6x Reorder the terms: -6 + 0.9x = -4 + -2 + 1.4x + -0.6x Combine like terms: -4 + -2 = -6 -6 + 0.9x = -6 + 1.4x + -0.6x Combine like terms: 1.4x + -0.6x = 0.8x -6 + 0.9x = -6 + 0.8x Add '6' to each side of the equation. -6 + 6 + 0.9x = -6 + 6 + 0.8x Combine like terms: -6 + 6 = 0 0 + 0.9x = -6 + 6 + 0.8x 0.9x = -6 + 6 + 0.8x Combine like terms: -6 + 6 = 0 0.9x = 0 + 0.8x 0.9x = 0.8x Solving 0.9x = 0.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.8x' to each side of the equation. 0.9x + -0.8x = 0.8x + -0.8x Combine like terms: 0.9x + -0.8x = 0.1x 0.1x = 0.8x + -0.8x Combine like terms: 0.8x + -0.8x = 0.0 0.1x = 0.0 Divide each side by '0.1'. x = 0 Simplifying x = 0
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