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Simplifying -30 + 3x + -7(2 + -3x) = 4(x + -5) + 3x + 27 -30 + 3x + (2 * -7 + -3x * -7) = 4(x + -5) + 3x + 27 -30 + 3x + (-14 + 21x) = 4(x + -5) + 3x + 27 Reorder the terms: -30 + -14 + 3x + 21x = 4(x + -5) + 3x + 27 Combine like terms: -30 + -14 = -44 -44 + 3x + 21x = 4(x + -5) + 3x + 27 Combine like terms: 3x + 21x = 24x -44 + 24x = 4(x + -5) + 3x + 27 Reorder the terms: -44 + 24x = 4(-5 + x) + 3x + 27 -44 + 24x = (-5 * 4 + x * 4) + 3x + 27 -44 + 24x = (-20 + 4x) + 3x + 27 Reorder the terms: -44 + 24x = -20 + 27 + 4x + 3x Combine like terms: -20 + 27 = 7 -44 + 24x = 7 + 4x + 3x Combine like terms: 4x + 3x = 7x -44 + 24x = 7 + 7x Solving -44 + 24x = 7 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -44 + 24x + -7x = 7 + 7x + -7x Combine like terms: 24x + -7x = 17x -44 + 17x = 7 + 7x + -7x Combine like terms: 7x + -7x = 0 -44 + 17x = 7 + 0 -44 + 17x = 7 Add '44' to each side of the equation. -44 + 44 + 17x = 7 + 44 Combine like terms: -44 + 44 = 0 0 + 17x = 7 + 44 17x = 7 + 44 Combine like terms: 7 + 44 = 51 17x = 51 Divide each side by '17'. x = 3 Simplifying x = 3
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