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Simplifying 32 + -21 = 5(6x + -4) + 2x + -1 Combine like terms: 32 + -21 = 11 11 = 5(6x + -4) + 2x + -1 Reorder the terms: 11 = 5(-4 + 6x) + 2x + -1 11 = (-4 * 5 + 6x * 5) + 2x + -1 11 = (-20 + 30x) + 2x + -1 Reorder the terms: 11 = -20 + -1 + 30x + 2x Combine like terms: -20 + -1 = -21 11 = -21 + 30x + 2x Combine like terms: 30x + 2x = 32x 11 = -21 + 32x Solving 11 = -21 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. 11 + -32x = -21 + 32x + -32x Combine like terms: 32x + -32x = 0 11 + -32x = -21 + 0 11 + -32x = -21 Add '-11' to each side of the equation. 11 + -11 + -32x = -21 + -11 Combine like terms: 11 + -11 = 0 0 + -32x = -21 + -11 -32x = -21 + -11 Combine like terms: -21 + -11 = -32 -32x = -32 Divide each side by '-32'. x = 1 Simplifying x = 1
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