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Simplifying 0.3x + -1.2 + 0.7x = 0.9x + 1 Reorder the terms: -1.2 + 0.3x + 0.7x = 0.9x + 1 Combine like terms: 0.3x + 0.7x = 1x -1.2 + 1x = 0.9x + 1 Reorder the terms: -1.2 + 1x = 1 + 0.9x Solving -1.2 + 1x = 1 + 0.9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.9x' to each side of the equation. -1.2 + 1x + -0.9x = 1 + 0.9x + -0.9x Combine like terms: 1x + -0.9x = 0.1x -1.2 + 0.1x = 1 + 0.9x + -0.9x Combine like terms: 0.9x + -0.9x = 0.0 -1.2 + 0.1x = 1 + 0.0 -1.2 + 0.1x = 1 Add '1.2' to each side of the equation. -1.2 + 1.2 + 0.1x = 1 + 1.2 Combine like terms: -1.2 + 1.2 = 0.0 0.0 + 0.1x = 1 + 1.2 0.1x = 1 + 1.2 Combine like terms: 1 + 1.2 = 2.2 0.1x = 2.2 Divide each side by '0.1'. x = 22 Simplifying x = 22
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