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Simplifying -0.3(2x + -3) = 0.7(3 + -1x) Reorder the terms: -0.3(-3 + 2x) = 0.7(3 + -1x) (-3 * -0.3 + 2x * -0.3) = 0.7(3 + -1x) (0.9 + -0.6x) = 0.7(3 + -1x) 0.9 + -0.6x = (3 * 0.7 + -1x * 0.7) 0.9 + -0.6x = (2.1 + -0.7x) Solving 0.9 + -0.6x = 2.1 + -0.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.7x' to each side of the equation. 0.9 + -0.6x + 0.7x = 2.1 + -0.7x + 0.7x Combine like terms: -0.6x + 0.7x = 0.1x 0.9 + 0.1x = 2.1 + -0.7x + 0.7x Combine like terms: -0.7x + 0.7x = 0.0 0.9 + 0.1x = 2.1 + 0.0 0.9 + 0.1x = 2.1 Add '-0.9' to each side of the equation. 0.9 + -0.9 + 0.1x = 2.1 + -0.9 Combine like terms: 0.9 + -0.9 = 0.0 0.0 + 0.1x = 2.1 + -0.9 0.1x = 2.1 + -0.9 Combine like terms: 2.1 + -0.9 = 1.2 0.1x = 1.2 Divide each side by '0.1'. x = 12 Simplifying x = 12
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