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Simplifying -0.3(2x + -7) = 0.7(8 + -1x) Reorder the terms: -0.3(-7 + 2x) = 0.7(8 + -1x) (-7 * -0.3 + 2x * -0.3) = 0.7(8 + -1x) (2.1 + -0.6x) = 0.7(8 + -1x) 2.1 + -0.6x = (8 * 0.7 + -1x * 0.7) 2.1 + -0.6x = (5.6 + -0.7x) Solving 2.1 + -0.6x = 5.6 + -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. 2.1 + -0.6x + 0.7x = 5.6 + -0.7x + 0.7x Combine like terms: -0.6x + 0.7x = 0.1x 2.1 + 0.1x = 5.6 + -0.7x + 0.7x Combine like terms: -0.7x + 0.7x = 0.0 2.1 + 0.1x = 5.6 + 0.0 2.1 + 0.1x = 5.6 Add '-2.1' to each side of the equation. 2.1 + -2.1 + 0.1x = 5.6 + -2.1 Combine like terms: 2.1 + -2.1 = 0.0 0.0 + 0.1x = 5.6 + -2.1 0.1x = 5.6 + -2.1 Combine like terms: 5.6 + -2.1 = 3.5 0.1x = 3.5 Divide each side by '0.1'. x = 35 Simplifying x = 35
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