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Simplifying (4x + 1) * 4 + -6(2x + 1) = -4(x + -1) Reorder the terms: (1 + 4x) * 4 + -6(2x + 1) = -4(x + -1) Reorder the terms for easier multiplication: 4(1 + 4x) + -6(2x + 1) = -4(x + -1) (1 * 4 + 4x * 4) + -6(2x + 1) = -4(x + -1) (4 + 16x) + -6(2x + 1) = -4(x + -1) Reorder the terms: 4 + 16x + -6(1 + 2x) = -4(x + -1) 4 + 16x + (1 * -6 + 2x * -6) = -4(x + -1) 4 + 16x + (-6 + -12x) = -4(x + -1) Reorder the terms: 4 + -6 + 16x + -12x = -4(x + -1) Combine like terms: 4 + -6 = -2 -2 + 16x + -12x = -4(x + -1) Combine like terms: 16x + -12x = 4x -2 + 4x = -4(x + -1) Reorder the terms: -2 + 4x = -4(-1 + x) -2 + 4x = (-1 * -4 + x * -4) -2 + 4x = (4 + -4x) Solving -2 + 4x = 4 + -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 + 4x + 4x = 4 + -4x + 4x Combine like terms: 4x + 4x = 8x -2 + 8x = 4 + -4x + 4x Combine like terms: -4x + 4x = 0 -2 + 8x = 4 + 0 -2 + 8x = 4 Add '2' to each side of the equation. -2 + 2 + 8x = 4 + 2 Combine like terms: -2 + 2 = 0 0 + 8x = 4 + 2 8x = 4 + 2 Combine like terms: 4 + 2 = 6 8x = 6 Divide each side by '8'. x = 0.75 Simplifying x = 0.75
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