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Simplifying -4(-3.6 + -1.7x) = 46.4 + -1.2x (-3.6 * -4 + -1.7x * -4) = 46.4 + -1.2x (14.4 + 6.8x) = 46.4 + -1.2x Solving 14.4 + 6.8x = 46.4 + -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. 14.4 + 6.8x + 1.2x = 46.4 + -1.2x + 1.2x Combine like terms: 6.8x + 1.2x = 8x 14.4 + 8x = 46.4 + -1.2x + 1.2x Combine like terms: -1.2x + 1.2x = 0.0 14.4 + 8x = 46.4 + 0.0 14.4 + 8x = 46.4 Add '-14.4' to each side of the equation. 14.4 + -14.4 + 8x = 46.4 + -14.4 Combine like terms: 14.4 + -14.4 = 0.0 0.0 + 8x = 46.4 + -14.4 8x = 46.4 + -14.4 Combine like terms: 46.4 + -14.4 = 32 8x = 32 Divide each side by '8'. x = 4 Simplifying x = 4
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