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Simplifying 7 + -3(4x + 4) = 3x + 5(x + -9) Reorder the terms: 7 + -3(4 + 4x) = 3x + 5(x + -9) 7 + (4 * -3 + 4x * -3) = 3x + 5(x + -9) 7 + (-12 + -12x) = 3x + 5(x + -9) Combine like terms: 7 + -12 = -5 -5 + -12x = 3x + 5(x + -9) Reorder the terms: -5 + -12x = 3x + 5(-9 + x) -5 + -12x = 3x + (-9 * 5 + x * 5) -5 + -12x = 3x + (-45 + 5x) Reorder the terms: -5 + -12x = -45 + 3x + 5x Combine like terms: 3x + 5x = 8x -5 + -12x = -45 + 8x Solving -5 + -12x = -45 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -5 + -12x + -8x = -45 + 8x + -8x Combine like terms: -12x + -8x = -20x -5 + -20x = -45 + 8x + -8x Combine like terms: 8x + -8x = 0 -5 + -20x = -45 + 0 -5 + -20x = -45 Add '5' to each side of the equation. -5 + 5 + -20x = -45 + 5 Combine like terms: -5 + 5 = 0 0 + -20x = -45 + 5 -20x = -45 + 5 Combine like terms: -45 + 5 = -40 -20x = -40 Divide each side by '-20'. x = 2 Simplifying x = 2
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