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Simplifying 7(x + -4) + 2 = 2(x + -4) + -2 Reorder the terms: 7(-4 + x) + 2 = 2(x + -4) + -2 (-4 * 7 + x * 7) + 2 = 2(x + -4) + -2 (-28 + 7x) + 2 = 2(x + -4) + -2 Reorder the terms: -28 + 2 + 7x = 2(x + -4) + -2 Combine like terms: -28 + 2 = -26 -26 + 7x = 2(x + -4) + -2 Reorder the terms: -26 + 7x = 2(-4 + x) + -2 -26 + 7x = (-4 * 2 + x * 2) + -2 -26 + 7x = (-8 + 2x) + -2 Reorder the terms: -26 + 7x = -8 + -2 + 2x Combine like terms: -8 + -2 = -10 -26 + 7x = -10 + 2x Solving -26 + 7x = -10 + 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. -26 + 7x + -2x = -10 + 2x + -2x Combine like terms: 7x + -2x = 5x -26 + 5x = -10 + 2x + -2x Combine like terms: 2x + -2x = 0 -26 + 5x = -10 + 0 -26 + 5x = -10 Add '26' to each side of the equation. -26 + 26 + 5x = -10 + 26 Combine like terms: -26 + 26 = 0 0 + 5x = -10 + 26 5x = -10 + 26 Combine like terms: -10 + 26 = 16 5x = 16 Divide each side by '5'. x = 3.2 Simplifying x = 3.2
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