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Simplifying 4(4x + 2) + -8(x + -2) = 3(2x + 1) + -2 Reorder the terms: 4(2 + 4x) + -8(x + -2) = 3(2x + 1) + -2 (2 * 4 + 4x * 4) + -8(x + -2) = 3(2x + 1) + -2 (8 + 16x) + -8(x + -2) = 3(2x + 1) + -2 Reorder the terms: 8 + 16x + -8(-2 + x) = 3(2x + 1) + -2 8 + 16x + (-2 * -8 + x * -8) = 3(2x + 1) + -2 8 + 16x + (16 + -8x) = 3(2x + 1) + -2 Reorder the terms: 8 + 16 + 16x + -8x = 3(2x + 1) + -2 Combine like terms: 8 + 16 = 24 24 + 16x + -8x = 3(2x + 1) + -2 Combine like terms: 16x + -8x = 8x 24 + 8x = 3(2x + 1) + -2 Reorder the terms: 24 + 8x = 3(1 + 2x) + -2 24 + 8x = (1 * 3 + 2x * 3) + -2 24 + 8x = (3 + 6x) + -2 Reorder the terms: 24 + 8x = 3 + -2 + 6x Combine like terms: 3 + -2 = 1 24 + 8x = 1 + 6x Solving 24 + 8x = 1 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 24 + 8x + -6x = 1 + 6x + -6x Combine like terms: 8x + -6x = 2x 24 + 2x = 1 + 6x + -6x Combine like terms: 6x + -6x = 0 24 + 2x = 1 + 0 24 + 2x = 1 Add '-24' to each side of the equation. 24 + -24 + 2x = 1 + -24 Combine like terms: 24 + -24 = 0 0 + 2x = 1 + -24 2x = 1 + -24 Combine like terms: 1 + -24 = -23 2x = -23 Divide each side by '2'. x = -11.5 Simplifying x = -11.5
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