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Simplifying 3 + -1(2x + -18) = 6(x + -2) Reorder the terms: 3 + -1(-18 + 2x) = 6(x + -2) 3 + (-18 * -1 + 2x * -1) = 6(x + -2) 3 + (18 + -2x) = 6(x + -2) Combine like terms: 3 + 18 = 21 21 + -2x = 6(x + -2) Reorder the terms: 21 + -2x = 6(-2 + x) 21 + -2x = (-2 * 6 + x * 6) 21 + -2x = (-12 + 6x) Solving 21 + -2x = -12 + 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. 21 + -2x + -6x = -12 + 6x + -6x Combine like terms: -2x + -6x = -8x 21 + -8x = -12 + 6x + -6x Combine like terms: 6x + -6x = 0 21 + -8x = -12 + 0 21 + -8x = -12 Add '-21' to each side of the equation. 21 + -21 + -8x = -12 + -21 Combine like terms: 21 + -21 = 0 0 + -8x = -12 + -21 -8x = -12 + -21 Combine like terms: -12 + -21 = -33 -8x = -33 Divide each side by '-8'. x = 4.125 Simplifying x = 4.125
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