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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 = -16x -13 + -16x = 11 + 12x + -12x Combine like terms: 12x + -12x = 0 -13 + -16x = 11 + 0 -13 + -16x = 11 Add '13' to each side of the equation. -13 + 13 + -16x = 11 + 13 Combine like terms: -13 + 13 = 0 0 + -16x = 11 + 13 -16x = 11 + 13 Combine like terms: 11 + 13 = 24 -16x = 24 Divide each side by '-16'. x = -1.5 Simplifying x = -1.5
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