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Simplifying 4(4x + 1) + -8(x + -2) = 3(2x + 5) + -2 Reorder the terms: 4(1 + 4x) + -8(x + -2) = 3(2x + 5) + -2 (1 * 4 + 4x * 4) + -8(x + -2) = 3(2x + 5) + -2 (4 + 16x) + -8(x + -2) = 3(2x + 5) + -2 Reorder the terms: 4 + 16x + -8(-2 + x) = 3(2x + 5) + -2 4 + 16x + (-2 * -8 + x * -8) = 3(2x + 5) + -2 4 + 16x + (16 + -8x) = 3(2x + 5) + -2 Reorder the terms: 4 + 16 + 16x + -8x = 3(2x + 5) + -2 Combine like terms: 4 + 16 = 20 20 + 16x + -8x = 3(2x + 5) + -2 Combine like terms: 16x + -8x = 8x 20 + 8x = 3(2x + 5) + -2 Reorder the terms: 20 + 8x = 3(5 + 2x) + -2 20 + 8x = (5 * 3 + 2x * 3) + -2 20 + 8x = (15 + 6x) + -2 Reorder the terms: 20 + 8x = 15 + -2 + 6x Combine like terms: 15 + -2 = 13 20 + 8x = 13 + 6x Solving 20 + 8x = 13 + 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. 20 + 8x + -6x = 13 + 6x + -6x Combine like terms: 8x + -6x = 2x 20 + 2x = 13 + 6x + -6x Combine like terms: 6x + -6x = 0 20 + 2x = 13 + 0 20 + 2x = 13 Add '-20' to each side of the equation. 20 + -20 + 2x = 13 + -20 Combine like terms: 20 + -20 = 0 0 + 2x = 13 + -20 2x = 13 + -20 Combine like terms: 13 + -20 = -7 2x = -7 Divide each side by '2'. x = -3.5 Simplifying x = -3.5
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