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Simplifying 6(x + -7) = 4(x + 2) Reorder the terms: 6(-7 + x) = 4(x + 2) (-7 * 6 + x * 6) = 4(x + 2) (-42 + 6x) = 4(x + 2) Reorder the terms: -42 + 6x = 4(2 + x) -42 + 6x = (2 * 4 + x * 4) -42 + 6x = (8 + 4x) Solving -42 + 6x = 8 + 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. -42 + 6x + -4x = 8 + 4x + -4x Combine like terms: 6x + -4x = 2x -42 + 2x = 8 + 4x + -4x Combine like terms: 4x + -4x = 0 -42 + 2x = 8 + 0 -42 + 2x = 8 Add '42' to each side of the equation. -42 + 42 + 2x = 8 + 42 Combine like terms: -42 + 42 = 0 0 + 2x = 8 + 42 2x = 8 + 42 Combine like terms: 8 + 42 = 50 2x = 50 Divide each side by '2'. x = 25 Simplifying x = 25
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