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Simplifying 4(x + -1) + 55 = x + -9(x + 1) Reorder the terms: 4(-1 + x) + 55 = x + -9(x + 1) (-1 * 4 + x * 4) + 55 = x + -9(x + 1) (-4 + 4x) + 55 = x + -9(x + 1) Reorder the terms: -4 + 55 + 4x = x + -9(x + 1) Combine like terms: -4 + 55 = 51 51 + 4x = x + -9(x + 1) Reorder the terms: 51 + 4x = x + -9(1 + x) 51 + 4x = x + (1 * -9 + x * -9) 51 + 4x = x + (-9 + -9x) Reorder the terms: 51 + 4x = -9 + x + -9x Combine like terms: x + -9x = -8x 51 + 4x = -9 + -8x Solving 51 + 4x = -9 + -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. 51 + 4x + 8x = -9 + -8x + 8x Combine like terms: 4x + 8x = 12x 51 + 12x = -9 + -8x + 8x Combine like terms: -8x + 8x = 0 51 + 12x = -9 + 0 51 + 12x = -9 Add '-51' to each side of the equation. 51 + -51 + 12x = -9 + -51 Combine like terms: 51 + -51 = 0 0 + 12x = -9 + -51 12x = -9 + -51 Combine like terms: -9 + -51 = -60 12x = -60 Divide each side by '12'. x = -5 Simplifying x = -5
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