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Simplifying 7x + 9 = 4(4x + -4) + -4x Reorder the terms: 9 + 7x = 4(4x + -4) + -4x Reorder the terms: 9 + 7x = 4(-4 + 4x) + -4x 9 + 7x = (-4 * 4 + 4x * 4) + -4x 9 + 7x = (-16 + 16x) + -4x Combine like terms: 16x + -4x = 12x 9 + 7x = -16 + 12x Solving 9 + 7x = -16 + 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. 9 + 7x + -12x = -16 + 12x + -12x Combine like terms: 7x + -12x = -5x 9 + -5x = -16 + 12x + -12x Combine like terms: 12x + -12x = 0 9 + -5x = -16 + 0 9 + -5x = -16 Add '-9' to each side of the equation. 9 + -9 + -5x = -16 + -9 Combine like terms: 9 + -9 = 0 0 + -5x = -16 + -9 -5x = -16 + -9 Combine like terms: -16 + -9 = -25 -5x = -25 Divide each side by '-5'. x = 5 Simplifying x = 5
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