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Simplifying 5 + -1(4x + -3) + 2(x + -1 + 5) = -4(2x + -1) Reorder the terms: 5 + -1(-3 + 4x) + 2(x + -1 + 5) = -4(2x + -1) 5 + (-3 * -1 + 4x * -1) + 2(x + -1 + 5) = -4(2x + -1) 5 + (3 + -4x) + 2(x + -1 + 5) = -4(2x + -1) Reorder the terms: 5 + 3 + -4x + 2(-1 + 5 + x) = -4(2x + -1) Combine like terms: -1 + 5 = 4 5 + 3 + -4x + 2(4 + x) = -4(2x + -1) 5 + 3 + -4x + (4 * 2 + x * 2) = -4(2x + -1) 5 + 3 + -4x + (8 + 2x) = -4(2x + -1) Reorder the terms: 5 + 3 + 8 + -4x + 2x = -4(2x + -1) Combine like terms: 5 + 3 = 8 8 + 8 + -4x + 2x = -4(2x + -1) Combine like terms: 8 + 8 = 16 16 + -4x + 2x = -4(2x + -1) Combine like terms: -4x + 2x = -2x 16 + -2x = -4(2x + -1) Reorder the terms: 16 + -2x = -4(-1 + 2x) 16 + -2x = (-1 * -4 + 2x * -4) 16 + -2x = (4 + -8x) Solving 16 + -2x = 4 + -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. 16 + -2x + 8x = 4 + -8x + 8x Combine like terms: -2x + 8x = 6x 16 + 6x = 4 + -8x + 8x Combine like terms: -8x + 8x = 0 16 + 6x = 4 + 0 16 + 6x = 4 Add '-16' to each side of the equation. 16 + -16 + 6x = 4 + -16 Combine like terms: 16 + -16 = 0 0 + 6x = 4 + -16 6x = 4 + -16 Combine like terms: 4 + -16 = -12 6x = -12 Divide each side by '6'. x = -2 Simplifying x = -2
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