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Simplifying 2(x + -4) = 7(x + 6) Reorder the terms: 2(-4 + x) = 7(x + 6) (-4 * 2 + x * 2) = 7(x + 6) (-8 + 2x) = 7(x + 6) Reorder the terms: -8 + 2x = 7(6 + x) -8 + 2x = (6 * 7 + x * 7) -8 + 2x = (42 + 7x) Solving -8 + 2x = 42 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -8 + 2x + -7x = 42 + 7x + -7x Combine like terms: 2x + -7x = -5x -8 + -5x = 42 + 7x + -7x Combine like terms: 7x + -7x = 0 -8 + -5x = 42 + 0 -8 + -5x = 42 Add '8' to each side of the equation. -8 + 8 + -5x = 42 + 8 Combine like terms: -8 + 8 = 0 0 + -5x = 42 + 8 -5x = 42 + 8 Combine like terms: 42 + 8 = 50 -5x = 50 Divide each side by '-5'. x = -10 Simplifying x = -10
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