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Simplifying 8x + -4(x + -2) = 7x + -2(3x + 2) Reorder the terms: 8x + -4(-2 + x) = 7x + -2(3x + 2) 8x + (-2 * -4 + x * -4) = 7x + -2(3x + 2) 8x + (8 + -4x) = 7x + -2(3x + 2) Reorder the terms: 8 + 8x + -4x = 7x + -2(3x + 2) Combine like terms: 8x + -4x = 4x 8 + 4x = 7x + -2(3x + 2) Reorder the terms: 8 + 4x = 7x + -2(2 + 3x) 8 + 4x = 7x + (2 * -2 + 3x * -2) 8 + 4x = 7x + (-4 + -6x) Reorder the terms: 8 + 4x = -4 + 7x + -6x Combine like terms: 7x + -6x = 1x 8 + 4x = -4 + 1x Solving 8 + 4x = -4 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 8 + 4x + -1x = -4 + 1x + -1x Combine like terms: 4x + -1x = 3x 8 + 3x = -4 + 1x + -1x Combine like terms: 1x + -1x = 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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