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Simplifying 0.4(7 + -3x) = 9 + (4x + -1) (7 * 0.4 + -3x * 0.4) = 9 + (4x + -1) (2.8 + -1.2x) = 9 + (4x + -1) Reorder the terms: 2.8 + -1.2x = 9 + (-1 + 4x) Remove parenthesis around (-1 + 4x) 2.8 + -1.2x = 9 + -1 + 4x Combine like terms: 9 + -1 = 8 2.8 + -1.2x = 8 + 4x Solving 2.8 + -1.2x = 8 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 2.8 + -1.2x + -4x = 8 + 4x + -4x Combine like terms: -1.2x + -4x = -5.2x 2.8 + -5.2x = 8 + 4x + -4x Combine like terms: 4x + -4x = 0 2.8 + -5.2x = 8 + 0 2.8 + -5.2x = 8 Add '-2.8' to each side of the equation. 2.8 + -2.8 + -5.2x = 8 + -2.8 Combine like terms: 2.8 + -2.8 = 0.0 0.0 + -5.2x = 8 + -2.8 -5.2x = 8 + -2.8 Combine like terms: 8 + -2.8 = 5.2 -5.2x = 5.2 Divide each side by '-5.2'. x = -1 Simplifying x = -1
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