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Simplifying 6(2x + -7) = 2(4x + -1) Reorder the terms: 6(-7 + 2x) = 2(4x + -1) (-7 * 6 + 2x * 6) = 2(4x + -1) (-42 + 12x) = 2(4x + -1) Reorder the terms: -42 + 12x = 2(-1 + 4x) -42 + 12x = (-1 * 2 + 4x * 2) -42 + 12x = (-2 + 8x) Solving -42 + 12x = -2 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -42 + 12x + -8x = -2 + 8x + -8x Combine like terms: 12x + -8x = 4x -42 + 4x = -2 + 8x + -8x Combine like terms: 8x + -8x = 0 -42 + 4x = -2 + 0 -42 + 4x = -2 Add '42' to each side of the equation. -42 + 42 + 4x = -2 + 42 Combine like terms: -42 + 42 = 0 0 + 4x = -2 + 42 4x = -2 + 42 Combine like terms: -2 + 42 = 40 4x = 40 Divide each side by '4'. x = 10 Simplifying x = 10
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