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Simplifying 4(x + 2) + 1 = -9 + -4(x + -1) Reorder the terms: 4(2 + x) + 1 = -9 + -4(x + -1) (2 * 4 + x * 4) + 1 = -9 + -4(x + -1) (8 + 4x) + 1 = -9 + -4(x + -1) Reorder the terms: 8 + 1 + 4x = -9 + -4(x + -1) Combine like terms: 8 + 1 = 9 9 + 4x = -9 + -4(x + -1) Reorder the terms: 9 + 4x = -9 + -4(-1 + x) 9 + 4x = -9 + (-1 * -4 + x * -4) 9 + 4x = -9 + (4 + -4x) Combine like terms: -9 + 4 = -5 9 + 4x = -5 + -4x Solving 9 + 4x = -5 + -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. 9 + 4x + 4x = -5 + -4x + 4x Combine like terms: 4x + 4x = 8x 9 + 8x = -5 + -4x + 4x Combine like terms: -4x + 4x = 0 9 + 8x = -5 + 0 9 + 8x = -5 Add '-9' to each side of the equation. 9 + -9 + 8x = -5 + -9 Combine like terms: 9 + -9 = 0 0 + 8x = -5 + -9 8x = -5 + -9 Combine like terms: -5 + -9 = -14 8x = -14 Divide each side by '8'. x = -1.75 Simplifying x = -1.75
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