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Simplifying 21 + 3x + -7(2 + -3x) = 4(x + -5) + 3x + 27 21 + 3x + (2 * -7 + -3x * -7) = 4(x + -5) + 3x + 27 21 + 3x + (-14 + 21x) = 4(x + -5) + 3x + 27 Reorder the terms: 21 + -14 + 3x + 21x = 4(x + -5) + 3x + 27 Combine like terms: 21 + -14 = 7 7 + 3x + 21x = 4(x + -5) + 3x + 27 Combine like terms: 3x + 21x = 24x 7 + 24x = 4(x + -5) + 3x + 27 Reorder the terms: 7 + 24x = 4(-5 + x) + 3x + 27 7 + 24x = (-5 * 4 + x * 4) + 3x + 27 7 + 24x = (-20 + 4x) + 3x + 27 Reorder the terms: 7 + 24x = -20 + 27 + 4x + 3x Combine like terms: -20 + 27 = 7 7 + 24x = 7 + 4x + 3x Combine like terms: 4x + 3x = 7x 7 + 24x = 7 + 7x Add '-7' to each side of the equation. 7 + -7 + 24x = 7 + -7 + 7x Combine like terms: 7 + -7 = 0 0 + 24x = 7 + -7 + 7x 24x = 7 + -7 + 7x Combine like terms: 7 + -7 = 0 24x = 0 + 7x 24x = 7x Solving 24x = 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. 24x + -7x = 7x + -7x Combine like terms: 24x + -7x = 17x 17x = 7x + -7x Combine like terms: 7x + -7x = 0 17x = 0 Divide each side by '17'. x = 0 Simplifying x = 0
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