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Simplifying -0.7(2x + -7) = 0.3(11 + -4x) Reorder the terms: -0.7(-7 + 2x) = 0.3(11 + -4x) (-7 * -0.7 + 2x * -0.7) = 0.3(11 + -4x) (4.9 + -1.4x) = 0.3(11 + -4x) 4.9 + -1.4x = (11 * 0.3 + -4x * 0.3) 4.9 + -1.4x = (3.3 + -1.2x) Solving 4.9 + -1.4x = 3.3 + -1.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.2x' to each side of the equation. 4.9 + -1.4x + 1.2x = 3.3 + -1.2x + 1.2x Combine like terms: -1.4x + 1.2x = -0.2x 4.9 + -0.2x = 3.3 + -1.2x + 1.2x Combine like terms: -1.2x + 1.2x = 0.0 4.9 + -0.2x = 3.3 + 0.0 4.9 + -0.2x = 3.3 Add '-4.9' to each side of the equation. 4.9 + -4.9 + -0.2x = 3.3 + -4.9 Combine like terms: 4.9 + -4.9 = 0.0 0.0 + -0.2x = 3.3 + -4.9 -0.2x = 3.3 + -4.9 Combine like terms: 3.3 + -4.9 = -1.6 -0.2x = -1.6 Divide each side by '-0.2'. x = 8 Simplifying x = 8
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