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Simplifying x + -2(4x + -9) = 6x + -21 Reorder the terms: x + -2(-9 + 4x) = 6x + -21 x + (-9 * -2 + 4x * -2) = 6x + -21 x + (18 + -8x) = 6x + -21 Reorder the terms: 18 + x + -8x = 6x + -21 Combine like terms: x + -8x = -7x 18 + -7x = 6x + -21 Reorder the terms: 18 + -7x = -21 + 6x Solving 18 + -7x = -21 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 18 + -7x + -6x = -21 + 6x + -6x Combine like terms: -7x + -6x = -13x 18 + -13x = -21 + 6x + -6x Combine like terms: 6x + -6x = 0 18 + -13x = -21 + 0 18 + -13x = -21 Add '-18' to each side of the equation. 18 + -18 + -13x = -21 + -18 Combine like terms: 18 + -18 = 0 0 + -13x = -21 + -18 -13x = -21 + -18 Combine like terms: -21 + -18 = -39 -13x = -39 Divide each side by '-13'. x = 3 Simplifying x = 3
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