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Simplifying 2(3x + 4) + 2(4x + 3) = 8(2x + 1) Reorder the terms: 2(4 + 3x) + 2(4x + 3) = 8(2x + 1) (4 * 2 + 3x * 2) + 2(4x + 3) = 8(2x + 1) (8 + 6x) + 2(4x + 3) = 8(2x + 1) Reorder the terms: 8 + 6x + 2(3 + 4x) = 8(2x + 1) 8 + 6x + (3 * 2 + 4x * 2) = 8(2x + 1) 8 + 6x + (6 + 8x) = 8(2x + 1) Reorder the terms: 8 + 6 + 6x + 8x = 8(2x + 1) Combine like terms: 8 + 6 = 14 14 + 6x + 8x = 8(2x + 1) Combine like terms: 6x + 8x = 14x 14 + 14x = 8(2x + 1) Reorder the terms: 14 + 14x = 8(1 + 2x) 14 + 14x = (1 * 8 + 2x * 8) 14 + 14x = (8 + 16x) Solving 14 + 14x = 8 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 14 + 14x + -16x = 8 + 16x + -16x Combine like terms: 14x + -16x = -2x 14 + -2x = 8 + 16x + -16x Combine like terms: 16x + -16x = 0 14 + -2x = 8 + 0 14 + -2x = 8 Add '-14' to each side of the equation. 14 + -14 + -2x = 8 + -14 Combine like terms: 14 + -14 = 0 0 + -2x = 8 + -14 -2x = 8 + -14 Combine like terms: 8 + -14 = -6 -2x = -6 Divide each side by '-2'. x = 3 Simplifying x = 3
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