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Simplifying 4 + -2.4(x + -6) = 3 + 7x Reorder the terms: 4 + -2.4(-6 + x) = 3 + 7x 4 + (-6 * -2.4 + x * -2.4) = 3 + 7x 4 + (14.4 + -2.4x) = 3 + 7x Combine like terms: 4 + 14.4 = 18.4 18.4 + -2.4x = 3 + 7x Solving 18.4 + -2.4x = 3 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 18.4 + -2.4x + -7x = 3 + 7x + -7x Combine like terms: -2.4x + -7x = -9.4x 18.4 + -9.4x = 3 + 7x + -7x Combine like terms: 7x + -7x = 0 18.4 + -9.4x = 3 + 0 18.4 + -9.4x = 3 Add '-18.4' to each side of the equation. 18.4 + -18.4 + -9.4x = 3 + -18.4 Combine like terms: 18.4 + -18.4 = 0.0 0.0 + -9.4x = 3 + -18.4 -9.4x = 3 + -18.4 Combine like terms: 3 + -18.4 = -15.4 -9.4x = -15.4 Divide each side by '-9.4'. x = 1.638297872 Simplifying x = 1.638297872
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