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Simplifying 4(-3x + 2) = 2(6x + -21) Reorder the terms: 4(2 + -3x) = 2(6x + -21) (2 * 4 + -3x * 4) = 2(6x + -21) (8 + -12x) = 2(6x + -21) Reorder the terms: 8 + -12x = 2(-21 + 6x) 8 + -12x = (-21 * 2 + 6x * 2) 8 + -12x = (-42 + 12x) Solving 8 + -12x = -42 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 8 + -12x + -12x = -42 + 12x + -12x Combine like terms: -12x + -12x = -24x 8 + -24x = -42 + 12x + -12x Combine like terms: 12x + -12x = 0 8 + -24x = -42 + 0 8 + -24x = -42 Add '-8' to each side of the equation. 8 + -8 + -24x = -42 + -8 Combine like terms: 8 + -8 = 0 0 + -24x = -42 + -8 -24x = -42 + -8 Combine like terms: -42 + -8 = -50 -24x = -50 Divide each side by '-24'. x = 2.083333333 Simplifying x = 2.083333333
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