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Simplifying 6(3x + -0.4) = 7x + -2.4 Reorder the terms: 6(-0.4 + 3x) = 7x + -2.4 (-0.4 * 6 + 3x * 6) = 7x + -2.4 (-2.4 + 18x) = 7x + -2.4 Reorder the terms: -2.4 + 18x = -2.4 + 7x Add '2.4' to each side of the equation. -2.4 + 2.4 + 18x = -2.4 + 2.4 + 7x Combine like terms: -2.4 + 2.4 = 0.0 0.0 + 18x = -2.4 + 2.4 + 7x 18x = -2.4 + 2.4 + 7x Combine like terms: -2.4 + 2.4 = 0.0 18x = 0.0 + 7x 18x = 7x Solving 18x = 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. 18x + -7x = 7x + -7x Combine like terms: 18x + -7x = 11x 11x = 7x + -7x Combine like terms: 7x + -7x = 0 11x = 0 Divide each side by '11'. x = 0 Simplifying x = 0
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