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Simplifying 3x + -4(-2x + 1) = 4 + -2(4x + 23) Reorder the terms: 3x + -4(1 + -2x) = 4 + -2(4x + 23) 3x + (1 * -4 + -2x * -4) = 4 + -2(4x + 23) 3x + (-4 + 8x) = 4 + -2(4x + 23) Reorder the terms: -4 + 3x + 8x = 4 + -2(4x + 23) Combine like terms: 3x + 8x = 11x -4 + 11x = 4 + -2(4x + 23) Reorder the terms: -4 + 11x = 4 + -2(23 + 4x) -4 + 11x = 4 + (23 * -2 + 4x * -2) -4 + 11x = 4 + (-46 + -8x) Combine like terms: 4 + -46 = -42 -4 + 11x = -42 + -8x Solving -4 + 11x = -42 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -4 + 11x + 8x = -42 + -8x + 8x Combine like terms: 11x + 8x = 19x -4 + 19x = -42 + -8x + 8x Combine like terms: -8x + 8x = 0 -4 + 19x = -42 + 0 -4 + 19x = -42 Add '4' to each side of the equation. -4 + 4 + 19x = -42 + 4 Combine like terms: -4 + 4 = 0 0 + 19x = -42 + 4 19x = -42 + 4 Combine like terms: -42 + 4 = -38 19x = -38 Divide each side by '19'. x = -2 Simplifying x = -2
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