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Simplifying -2(x + -4) + 7x = 2x + -4 Reorder the terms: -2(-4 + x) + 7x = 2x + -4 (-4 * -2 + x * -2) + 7x = 2x + -4 (8 + -2x) + 7x = 2x + -4 Combine like terms: -2x + 7x = 5x 8 + 5x = 2x + -4 Reorder the terms: 8 + 5x = -4 + 2x Solving 8 + 5x = -4 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 8 + 5x + -2x = -4 + 2x + -2x Combine like terms: 5x + -2x = 3x 8 + 3x = -4 + 2x + -2x Combine like terms: 2x + -2x = 0 8 + 3x = -4 + 0 8 + 3x = -4 Add '-8' to each side of the equation. 8 + -8 + 3x = -4 + -8 Combine like terms: 8 + -8 = 0 0 + 3x = -4 + -8 3x = -4 + -8 Combine like terms: -4 + -8 = -12 3x = -12 Divide each side by '3'. x = -4 Simplifying x = -4
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