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Simplifying -3 + -4(x + 1) = 2(x + 4) + 8 Reorder the terms: -3 + -4(1 + x) = 2(x + 4) + 8 -3 + (1 * -4 + x * -4) = 2(x + 4) + 8 -3 + (-4 + -4x) = 2(x + 4) + 8 Combine like terms: -3 + -4 = -7 -7 + -4x = 2(x + 4) + 8 Reorder the terms: -7 + -4x = 2(4 + x) + 8 -7 + -4x = (4 * 2 + x * 2) + 8 -7 + -4x = (8 + 2x) + 8 Reorder the terms: -7 + -4x = 8 + 8 + 2x Combine like terms: 8 + 8 = 16 -7 + -4x = 16 + 2x Solving -7 + -4x = 16 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -7 + -4x + -2x = 16 + 2x + -2x Combine like terms: -4x + -2x = -6x -7 + -6x = 16 + 2x + -2x Combine like terms: 2x + -2x = 0 -7 + -6x = 16 + 0 -7 + -6x = 16 Add '7' to each side of the equation. -7 + 7 + -6x = 16 + 7 Combine like terms: -7 + 7 = 0 0 + -6x = 16 + 7 -6x = 16 + 7 Combine like terms: 16 + 7 = 23 -6x = 23 Divide each side by '-6'. x = -3.833333333 Simplifying x = -3.833333333
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