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Simplifying 8(2x + 1) = (3x + 4) + (4x + 3) Reorder the terms: 8(1 + 2x) = (3x + 4) + (4x + 3) (1 * 8 + 2x * 8) = (3x + 4) + (4x + 3) (8 + 16x) = (3x + 4) + (4x + 3) Reorder the terms: 8 + 16x = (4 + 3x) + (4x + 3) Remove parenthesis around (4 + 3x) 8 + 16x = 4 + 3x + (4x + 3) Reorder the terms: 8 + 16x = 4 + 3x + (3 + 4x) Remove parenthesis around (3 + 4x) 8 + 16x = 4 + 3x + 3 + 4x Reorder the terms: 8 + 16x = 4 + 3 + 3x + 4x Combine like terms: 4 + 3 = 7 8 + 16x = 7 + 3x + 4x Combine like terms: 3x + 4x = 7x 8 + 16x = 7 + 7x Solving 8 + 16x = 7 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 8 + 16x + -7x = 7 + 7x + -7x Combine like terms: 16x + -7x = 9x 8 + 9x = 7 + 7x + -7x Combine like terms: 7x + -7x = 0 8 + 9x = 7 + 0 8 + 9x = 7 Add '-8' to each side of the equation. 8 + -8 + 9x = 7 + -8 Combine like terms: 8 + -8 = 0 0 + 9x = 7 + -8 9x = 7 + -8 Combine like terms: 7 + -8 = -1 9x = -1 Divide each side by '9'. x = -0.1111111111 Simplifying x = -0.1111111111
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