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Simplifying -4(x + 1) + -9 = -12x + 11 Reorder the terms: -4(1 + x) + -9 = -12x + 11 (1 * -4 + x * -4) + -9 = -12x + 11 (-4 + -4x) + -9 = -12x + 11 Reorder the terms: -4 + -9 + -4x = -12x + 11 Combine like terms: -4 + -9 = -13 -13 + -4x = -12x + 11 Reorder the terms: -13 + -4x = 11 + -12x Solving -13 + -4x = 11 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -13 + -4x + 12x = 11 + -12x + 12x Combine like terms: -4x + 12x = 8x -13 + 8x = 11 + -12x + 12x Combine like terms: -12x + 12x = 0 -13 + 8x = 11 + 0 -13 + 8x = 11 Add '13' to each side of the equation. -13 + 13 + 8x = 11 + 13 Combine like terms: -13 + 13 = 0 0 + 8x = 11 + 13 8x = 11 + 13 Combine like terms: 11 + 13 = 24 8x = 24 Divide each side by '8'. x = 3 Simplifying x = 3
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