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Simplifying -2(3x + -1) = 4(x + -7) Reorder the terms: -2(-1 + 3x) = 4(x + -7) (-1 * -2 + 3x * -2) = 4(x + -7) (2 + -6x) = 4(x + -7) Reorder the terms: 2 + -6x = 4(-7 + x) 2 + -6x = (-7 * 4 + x * 4) 2 + -6x = (-28 + 4x) Solving 2 + -6x = -28 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 2 + -6x + -4x = -28 + 4x + -4x Combine like terms: -6x + -4x = -10x 2 + -10x = -28 + 4x + -4x Combine like terms: 4x + -4x = 0 2 + -10x = -28 + 0 2 + -10x = -28 Add '-2' to each side of the equation. 2 + -2 + -10x = -28 + -2 Combine like terms: 2 + -2 = 0 0 + -10x = -28 + -2 -10x = -28 + -2 Combine like terms: -28 + -2 = -30 -10x = -30 Divide each side by '-10'. x = 3 Simplifying x = 3
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