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Simplifying 4(3x + -1) + 3(3x + 2) = 4x + -66 Reorder the terms: 4(-1 + 3x) + 3(3x + 2) = 4x + -66 (-1 * 4 + 3x * 4) + 3(3x + 2) = 4x + -66 (-4 + 12x) + 3(3x + 2) = 4x + -66 Reorder the terms: -4 + 12x + 3(2 + 3x) = 4x + -66 -4 + 12x + (2 * 3 + 3x * 3) = 4x + -66 -4 + 12x + (6 + 9x) = 4x + -66 Reorder the terms: -4 + 6 + 12x + 9x = 4x + -66 Combine like terms: -4 + 6 = 2 2 + 12x + 9x = 4x + -66 Combine like terms: 12x + 9x = 21x 2 + 21x = 4x + -66 Reorder the terms: 2 + 21x = -66 + 4x Solving 2 + 21x = -66 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 2 + 21x + -4x = -66 + 4x + -4x Combine like terms: 21x + -4x = 17x 2 + 17x = -66 + 4x + -4x Combine like terms: 4x + -4x = 0 2 + 17x = -66 + 0 2 + 17x = -66 Add '-2' to each side of the equation. 2 + -2 + 17x = -66 + -2 Combine like terms: 2 + -2 = 0 0 + 17x = -66 + -2 17x = -66 + -2 Combine like terms: -66 + -2 = -68 17x = -68 Divide each side by '17'. x = -4 Simplifying x = -4
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