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Simplifying 6 + -3(4x + 1) = 4x + -3(3x + 6) Reorder the terms: 6 + -3(1 + 4x) = 4x + -3(3x + 6) 6 + (1 * -3 + 4x * -3) = 4x + -3(3x + 6) 6 + (-3 + -12x) = 4x + -3(3x + 6) Combine like terms: 6 + -3 = 3 3 + -12x = 4x + -3(3x + 6) Reorder the terms: 3 + -12x = 4x + -3(6 + 3x) 3 + -12x = 4x + (6 * -3 + 3x * -3) 3 + -12x = 4x + (-18 + -9x) Reorder the terms: 3 + -12x = -18 + 4x + -9x Combine like terms: 4x + -9x = -5x 3 + -12x = -18 + -5x Solving 3 + -12x = -18 + -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. 3 + -12x + 5x = -18 + -5x + 5x Combine like terms: -12x + 5x = -7x 3 + -7x = -18 + -5x + 5x Combine like terms: -5x + 5x = 0 3 + -7x = -18 + 0 3 + -7x = -18 Add '-3' to each side of the equation. 3 + -3 + -7x = -18 + -3 Combine like terms: 3 + -3 = 0 0 + -7x = -18 + -3 -7x = -18 + -3 Combine like terms: -18 + -3 = -21 -7x = -21 Divide each side by '-7'. x = 3 Simplifying x = 3
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