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Simplifying 8 + 2(7x + -5) = -2(3x + -3) + 4x Reorder the terms: 8 + 2(-5 + 7x) = -2(3x + -3) + 4x 8 + (-5 * 2 + 7x * 2) = -2(3x + -3) + 4x 8 + (-10 + 14x) = -2(3x + -3) + 4x Combine like terms: 8 + -10 = -2 -2 + 14x = -2(3x + -3) + 4x Reorder the terms: -2 + 14x = -2(-3 + 3x) + 4x -2 + 14x = (-3 * -2 + 3x * -2) + 4x -2 + 14x = (6 + -6x) + 4x Combine like terms: -6x + 4x = -2x -2 + 14x = 6 + -2x Solving -2 + 14x = 6 + -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. -2 + 14x + 2x = 6 + -2x + 2x Combine like terms: 14x + 2x = 16x -2 + 16x = 6 + -2x + 2x Combine like terms: -2x + 2x = 0 -2 + 16x = 6 + 0 -2 + 16x = 6 Add '2' to each side of the equation. -2 + 2 + 16x = 6 + 2 Combine like terms: -2 + 2 = 0 0 + 16x = 6 + 2 16x = 6 + 2 Combine like terms: 6 + 2 = 8 16x = 8 Divide each side by '16'. x = 0.5 Simplifying x = 0.5
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