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Simplifying 4(2 + -3x) = 7 + -4(1 + -4x) (2 * 4 + -3x * 4) = 7 + -4(1 + -4x) (8 + -12x) = 7 + -4(1 + -4x) 8 + -12x = 7 + (1 * -4 + -4x * -4) 8 + -12x = 7 + (-4 + 16x) Combine like terms: 7 + -4 = 3 8 + -12x = 3 + 16x Solving 8 + -12x = 3 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 8 + -12x + -16x = 3 + 16x + -16x Combine like terms: -12x + -16x = -28x 8 + -28x = 3 + 16x + -16x Combine like terms: 16x + -16x = 0 8 + -28x = 3 + 0 8 + -28x = 3 Add '-8' to each side of the equation. 8 + -8 + -28x = 3 + -8 Combine like terms: 8 + -8 = 0 0 + -28x = 3 + -8 -28x = 3 + -8 Combine like terms: 3 + -8 = -5 -28x = -5 Divide each side by '-28'. x = 0.1785714286 Simplifying x = 0.1785714286
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