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Simplifying -0.3(2x + -8) = 0.7(7 + -1x) Reorder the terms: -0.3(-8 + 2x) = 0.7(7 + -1x) (-8 * -0.3 + 2x * -0.3) = 0.7(7 + -1x) (2.4 + -0.6x) = 0.7(7 + -1x) 2.4 + -0.6x = (7 * 0.7 + -1x * 0.7) 2.4 + -0.6x = (4.9 + -0.7x) Solving 2.4 + -0.6x = 4.9 + -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. 2.4 + -0.6x + 0.7x = 4.9 + -0.7x + 0.7x Combine like terms: -0.6x + 0.7x = 0.1x 2.4 + 0.1x = 4.9 + -0.7x + 0.7x Combine like terms: -0.7x + 0.7x = 0.0 2.4 + 0.1x = 4.9 + 0.0 2.4 + 0.1x = 4.9 Add '-2.4' to each side of the equation. 2.4 + -2.4 + 0.1x = 4.9 + -2.4 Combine like terms: 2.4 + -2.4 = 0.0 0.0 + 0.1x = 4.9 + -2.4 0.1x = 4.9 + -2.4 Combine like terms: 4.9 + -2.4 = 2.5 0.1x = 2.5 Divide each side by '0.1'. x = 25 Simplifying x = 25
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