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Simplifying -7(6.6x + -3) = 3.4x + -18.68 Reorder the terms: -7(-3 + 6.6x) = 3.4x + -18.68 (-3 * -7 + 6.6x * -7) = 3.4x + -18.68 (21 + -46.2x) = 3.4x + -18.68 Reorder the terms: 21 + -46.2x = -18.68 + 3.4x Solving 21 + -46.2x = -18.68 + 3.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.4x' to each side of the equation. 21 + -46.2x + -3.4x = -18.68 + 3.4x + -3.4x Combine like terms: -46.2x + -3.4x = -49.6x 21 + -49.6x = -18.68 + 3.4x + -3.4x Combine like terms: 3.4x + -3.4x = 0.0 21 + -49.6x = -18.68 + 0.0 21 + -49.6x = -18.68 Add '-21' to each side of the equation. 21 + -21 + -49.6x = -18.68 + -21 Combine like terms: 21 + -21 = 0 0 + -49.6x = -18.68 + -21 -49.6x = -18.68 + -21 Combine like terms: -18.68 + -21 = -39.68 -49.6x = -39.68 Divide each side by '-49.6'. x = 0.8 Simplifying x = 0.8
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