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