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Simplifying -4(4x + 4) + -9 = -12x + -53 Reorder the terms: -4(4 + 4x) + -9 = -12x + -53 (4 * -4 + 4x * -4) + -9 = -12x + -53 (-16 + -16x) + -9 = -12x + -53 Reorder the terms: -16 + -9 + -16x = -12x + -53 Combine like terms: -16 + -9 = -25 -25 + -16x = -12x + -53 Reorder the terms: -25 + -16x = -53 + -12x Solving -25 + -16x = -53 + -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. -25 + -16x + 12x = -53 + -12x + 12x Combine like terms: -16x + 12x = -4x -25 + -4x = -53 + -12x + 12x Combine like terms: -12x + 12x = 0 -25 + -4x = -53 + 0 -25 + -4x = -53 Add '25' to each side of the equation. -25 + 25 + -4x = -53 + 25 Combine like terms: -25 + 25 = 0 0 + -4x = -53 + 25 -4x = -53 + 25 Combine like terms: -53 + 25 = -28 -4x = -28 Divide each side by '-4'. x = 7 Simplifying x = 7
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