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Simplifying 2(4 + -1x) = 3(-7 + 2x) + -3 (4 * 2 + -1x * 2) = 3(-7 + 2x) + -3 (8 + -2x) = 3(-7 + 2x) + -3 8 + -2x = (-7 * 3 + 2x * 3) + -3 8 + -2x = (-21 + 6x) + -3 Reorder the terms: 8 + -2x = -21 + -3 + 6x Combine like terms: -21 + -3 = -24 8 + -2x = -24 + 6x Solving 8 + -2x = -24 + 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. 8 + -2x + -6x = -24 + 6x + -6x Combine like terms: -2x + -6x = -8x 8 + -8x = -24 + 6x + -6x Combine like terms: 6x + -6x = 0 8 + -8x = -24 + 0 8 + -8x = -24 Add '-8' to each side of the equation. 8 + -8 + -8x = -24 + -8 Combine like terms: 8 + -8 = 0 0 + -8x = -24 + -8 -8x = -24 + -8 Combine like terms: -24 + -8 = -32 -8x = -32 Divide each side by '-8'. x = 4 Simplifying x = 4
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