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Simplifying 3x + 5(4x + 7) = 3x + 4(4x + 2) Reorder the terms: 3x + 5(7 + 4x) = 3x + 4(4x + 2) 3x + (7 * 5 + 4x * 5) = 3x + 4(4x + 2) 3x + (35 + 20x) = 3x + 4(4x + 2) Reorder the terms: 35 + 3x + 20x = 3x + 4(4x + 2) Combine like terms: 3x + 20x = 23x 35 + 23x = 3x + 4(4x + 2) Reorder the terms: 35 + 23x = 3x + 4(2 + 4x) 35 + 23x = 3x + (2 * 4 + 4x * 4) 35 + 23x = 3x + (8 + 16x) Reorder the terms: 35 + 23x = 8 + 3x + 16x Combine like terms: 3x + 16x = 19x 35 + 23x = 8 + 19x Solving 35 + 23x = 8 + 19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19x' to each side of the equation. 35 + 23x + -19x = 8 + 19x + -19x Combine like terms: 23x + -19x = 4x 35 + 4x = 8 + 19x + -19x Combine like terms: 19x + -19x = 0 35 + 4x = 8 + 0 35 + 4x = 8 Add '-35' to each side of the equation. 35 + -35 + 4x = 8 + -35 Combine like terms: 35 + -35 = 0 0 + 4x = 8 + -35 4x = 8 + -35 Combine like terms: 8 + -35 = -27 4x = -27 Divide each side by '4'. x = -6.75 Simplifying x = -6.75
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