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Simplifying -3(4x + -4) + -9 = 9(4x + -5) Reorder the terms: -3(-4 + 4x) + -9 = 9(4x + -5) (-4 * -3 + 4x * -3) + -9 = 9(4x + -5) (12 + -12x) + -9 = 9(4x + -5) Reorder the terms: 12 + -9 + -12x = 9(4x + -5) Combine like terms: 12 + -9 = 3 3 + -12x = 9(4x + -5) Reorder the terms: 3 + -12x = 9(-5 + 4x) 3 + -12x = (-5 * 9 + 4x * 9) 3 + -12x = (-45 + 36x) Solving 3 + -12x = -45 + 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. 3 + -12x + -36x = -45 + 36x + -36x Combine like terms: -12x + -36x = -48x 3 + -48x = -45 + 36x + -36x Combine like terms: 36x + -36x = 0 3 + -48x = -45 + 0 3 + -48x = -45 Add '-3' to each side of the equation. 3 + -3 + -48x = -45 + -3 Combine like terms: 3 + -3 = 0 0 + -48x = -45 + -3 -48x = -45 + -3 Combine like terms: -45 + -3 = -48 -48x = -48 Divide each side by '-48'. x = 1 Simplifying x = 1
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