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Simplifying 8(2x + 4) + 6 = 3(5x + 2) + 3x Reorder the terms: 8(4 + 2x) + 6 = 3(5x + 2) + 3x (4 * 8 + 2x * 8) + 6 = 3(5x + 2) + 3x (32 + 16x) + 6 = 3(5x + 2) + 3x Reorder the terms: 32 + 6 + 16x = 3(5x + 2) + 3x Combine like terms: 32 + 6 = 38 38 + 16x = 3(5x + 2) + 3x Reorder the terms: 38 + 16x = 3(2 + 5x) + 3x 38 + 16x = (2 * 3 + 5x * 3) + 3x 38 + 16x = (6 + 15x) + 3x Combine like terms: 15x + 3x = 18x 38 + 16x = 6 + 18x Solving 38 + 16x = 6 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 38 + 16x + -18x = 6 + 18x + -18x Combine like terms: 16x + -18x = -2x 38 + -2x = 6 + 18x + -18x Combine like terms: 18x + -18x = 0 38 + -2x = 6 + 0 38 + -2x = 6 Add '-38' to each side of the equation. 38 + -38 + -2x = 6 + -38 Combine like terms: 38 + -38 = 0 0 + -2x = 6 + -38 -2x = 6 + -38 Combine like terms: 6 + -38 = -32 -2x = -32 Divide each side by '-2'. x = 16 Simplifying x = 16
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