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Simplifying 0 = 4(x + 1) + -21 + -7(x + -2) Reorder the terms: 0 = 4(1 + x) + -21 + -7(x + -2) 0 = (1 * 4 + x * 4) + -21 + -7(x + -2) 0 = (4 + 4x) + -21 + -7(x + -2) Reorder the terms: 0 = 4 + 4x + -21 + -7(-2 + x) 0 = 4 + 4x + -21 + (-2 * -7 + x * -7) 0 = 4 + 4x + -21 + (14 + -7x) Reorder the terms: 0 = 4 + -21 + 14 + 4x + -7x Combine like terms: 4 + -21 = -17 0 = -17 + 14 + 4x + -7x Combine like terms: -17 + 14 = -3 0 = -3 + 4x + -7x Combine like terms: 4x + -7x = -3x 0 = -3 + -3x Solving 0 = -3 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 0 + 3x = -3 + -3x + 3x Remove the zero: 3x = -3 + -3x + 3x Combine like terms: -3x + 3x = 0 3x = -3 + 0 3x = -3 Divide each side by '3'. x = -1 Simplifying x = -1
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