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