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Simplifying 0.7x + -1.2 = 0.3(2x + -1) Reorder the terms: -1.2 + 0.7x = 0.3(2x + -1) Reorder the terms: -1.2 + 0.7x = 0.3(-1 + 2x) -1.2 + 0.7x = (-1 * 0.3 + 2x * 0.3) -1.2 + 0.7x = (-0.3 + 0.6x) Solving -1.2 + 0.7x = -0.3 + 0.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.6x' to each side of the equation. -1.2 + 0.7x + -0.6x = -0.3 + 0.6x + -0.6x Combine like terms: 0.7x + -0.6x = 0.1x -1.2 + 0.1x = -0.3 + 0.6x + -0.6x Combine like terms: 0.6x + -0.6x = 0.0 -1.2 + 0.1x = -0.3 + 0.0 -1.2 + 0.1x = -0.3 Add '1.2' to each side of the equation. -1.2 + 1.2 + 0.1x = -0.3 + 1.2 Combine like terms: -1.2 + 1.2 = 0.0 0.0 + 0.1x = -0.3 + 1.2 0.1x = -0.3 + 1.2 Combine like terms: -0.3 + 1.2 = 0.9 0.1x = 0.9 Divide each side by '0.1'. x = 9 Simplifying x = 9
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