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Simplifying 8 + -1(4x + 37) = 3 + 4(x + 2) Reorder the terms: 8 + -1(37 + 4x) = 3 + 4(x + 2) 8 + (37 * -1 + 4x * -1) = 3 + 4(x + 2) 8 + (-37 + -4x) = 3 + 4(x + 2) Combine like terms: 8 + -37 = -29 -29 + -4x = 3 + 4(x + 2) Reorder the terms: -29 + -4x = 3 + 4(2 + x) -29 + -4x = 3 + (2 * 4 + x * 4) -29 + -4x = 3 + (8 + 4x) Combine like terms: 3 + 8 = 11 -29 + -4x = 11 + 4x Solving -29 + -4x = 11 + 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. -29 + -4x + -4x = 11 + 4x + -4x Combine like terms: -4x + -4x = -8x -29 + -8x = 11 + 4x + -4x Combine like terms: 4x + -4x = 0 -29 + -8x = 11 + 0 -29 + -8x = 11 Add '29' to each side of the equation. -29 + 29 + -8x = 11 + 29 Combine like terms: -29 + 29 = 0 0 + -8x = 11 + 29 -8x = 11 + 29 Combine like terms: 11 + 29 = 40 -8x = 40 Divide each side by '-8'. x = -5 Simplifying x = -5
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