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Simplifying 4 + -3(4x + 1) = 4x + -3(3x + 9) Reorder the terms: 4 + -3(1 + 4x) = 4x + -3(3x + 9) 4 + (1 * -3 + 4x * -3) = 4x + -3(3x + 9) 4 + (-3 + -12x) = 4x + -3(3x + 9) Combine like terms: 4 + -3 = 1 1 + -12x = 4x + -3(3x + 9) Reorder the terms: 1 + -12x = 4x + -3(9 + 3x) 1 + -12x = 4x + (9 * -3 + 3x * -3) 1 + -12x = 4x + (-27 + -9x) Reorder the terms: 1 + -12x = -27 + 4x + -9x Combine like terms: 4x + -9x = -5x 1 + -12x = -27 + -5x Solving 1 + -12x = -27 + -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. 1 + -12x + 5x = -27 + -5x + 5x Combine like terms: -12x + 5x = -7x 1 + -7x = -27 + -5x + 5x Combine like terms: -5x + 5x = 0 1 + -7x = -27 + 0 1 + -7x = -27 Add '-1' to each side of the equation. 1 + -1 + -7x = -27 + -1 Combine like terms: 1 + -1 = 0 0 + -7x = -27 + -1 -7x = -27 + -1 Combine like terms: -27 + -1 = -28 -7x = -28 Divide each side by '-7'. x = 4 Simplifying x = 4
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