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Simplifying (3 + -5x) * 0.4 = -6x + 26 Reorder the terms for easier multiplication: 0.4(3 + -5x) = -6x + 26 (3 * 0.4 + -5x * 0.4) = -6x + 26 (1.2 + -2x) = -6x + 26 Reorder the terms: 1.2 + -2x = 26 + -6x Solving 1.2 + -2x = 26 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 1.2 + -2x + 6x = 26 + -6x + 6x Combine like terms: -2x + 6x = 4x 1.2 + 4x = 26 + -6x + 6x Combine like terms: -6x + 6x = 0 1.2 + 4x = 26 + 0 1.2 + 4x = 26 Add '-1.2' to each side of the equation. 1.2 + -1.2 + 4x = 26 + -1.2 Combine like terms: 1.2 + -1.2 = 0.0 0.0 + 4x = 26 + -1.2 4x = 26 + -1.2 Combine like terms: 26 + -1.2 = 24.8 4x = 24.8 Divide each side by '4'. x = 6.2 Simplifying x = 6.2
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