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Simplifying -4(x + 2) = 3x + 1 Reorder the terms: -4(2 + x) = 3x + 1 (2 * -4 + x * -4) = 3x + 1 (-8 + -4x) = 3x + 1 Reorder the terms: -8 + -4x = 1 + 3x Solving -8 + -4x = 1 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -8 + -4x + -3x = 1 + 3x + -3x Combine like terms: -4x + -3x = -7x -8 + -7x = 1 + 3x + -3x Combine like terms: 3x + -3x = 0 -8 + -7x = 1 + 0 -8 + -7x = 1 Add '8' to each side of the equation. -8 + 8 + -7x = 1 + 8 Combine like terms: -8 + 8 = 0 0 + -7x = 1 + 8 -7x = 1 + 8 Combine like terms: 1 + 8 = 9 -7x = 9 Divide each side by '-7'. x = -1.285714286 Simplifying x = -1.285714286
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