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Simplifying 7x + -4x + 2(2x + 4) = 3(2x + 1) + -2x + 26 Reorder the terms: 7x + -4x + 2(4 + 2x) = 3(2x + 1) + -2x + 26 7x + -4x + (4 * 2 + 2x * 2) = 3(2x + 1) + -2x + 26 7x + -4x + (8 + 4x) = 3(2x + 1) + -2x + 26 Reorder the terms: 8 + 7x + -4x + 4x = 3(2x + 1) + -2x + 26 Combine like terms: 7x + -4x = 3x 8 + 3x + 4x = 3(2x + 1) + -2x + 26 Combine like terms: 3x + 4x = 7x 8 + 7x = 3(2x + 1) + -2x + 26 Reorder the terms: 8 + 7x = 3(1 + 2x) + -2x + 26 8 + 7x = (1 * 3 + 2x * 3) + -2x + 26 8 + 7x = (3 + 6x) + -2x + 26 Reorder the terms: 8 + 7x = 3 + 26 + 6x + -2x Combine like terms: 3 + 26 = 29 8 + 7x = 29 + 6x + -2x Combine like terms: 6x + -2x = 4x 8 + 7x = 29 + 4x Solving 8 + 7x = 29 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 8 + 7x + -4x = 29 + 4x + -4x Combine like terms: 7x + -4x = 3x 8 + 3x = 29 + 4x + -4x Combine like terms: 4x + -4x = 0 8 + 3x = 29 + 0 8 + 3x = 29 Add '-8' to each side of the equation. 8 + -8 + 3x = 29 + -8 Combine like terms: 8 + -8 = 0 0 + 3x = 29 + -8 3x = 29 + -8 Combine like terms: 29 + -8 = 21 3x = 21 Divide each side by '3'. x = 7 Simplifying x = 7
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