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Simplifying 9 + -3(4x + 1) = 4x + -3(3x + 5) Reorder the terms: 9 + -3(1 + 4x) = 4x + -3(3x + 5) 9 + (1 * -3 + 4x * -3) = 4x + -3(3x + 5) 9 + (-3 + -12x) = 4x + -3(3x + 5) Combine like terms: 9 + -3 = 6 6 + -12x = 4x + -3(3x + 5) Reorder the terms: 6 + -12x = 4x + -3(5 + 3x) 6 + -12x = 4x + (5 * -3 + 3x * -3) 6 + -12x = 4x + (-15 + -9x) Reorder the terms: 6 + -12x = -15 + 4x + -9x Combine like terms: 4x + -9x = -5x 6 + -12x = -15 + -5x Solving 6 + -12x = -15 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 6 + -12x + 5x = -15 + -5x + 5x Combine like terms: -12x + 5x = -7x 6 + -7x = -15 + -5x + 5x Combine like terms: -5x + 5x = 0 6 + -7x = -15 + 0 6 + -7x = -15 Add '-6' to each side of the equation. 6 + -6 + -7x = -15 + -6 Combine like terms: 6 + -6 = 0 0 + -7x = -15 + -6 -7x = -15 + -6 Combine like terms: -15 + -6 = -21 -7x = -21 Divide each side by '-7'. x = 3 Simplifying x = 3
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