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Simplifying 4(3x + 2) + 2(2x + -3) = 4x + 26 Reorder the terms: 4(2 + 3x) + 2(2x + -3) = 4x + 26 (2 * 4 + 3x * 4) + 2(2x + -3) = 4x + 26 (8 + 12x) + 2(2x + -3) = 4x + 26 Reorder the terms: 8 + 12x + 2(-3 + 2x) = 4x + 26 8 + 12x + (-3 * 2 + 2x * 2) = 4x + 26 8 + 12x + (-6 + 4x) = 4x + 26 Reorder the terms: 8 + -6 + 12x + 4x = 4x + 26 Combine like terms: 8 + -6 = 2 2 + 12x + 4x = 4x + 26 Combine like terms: 12x + 4x = 16x 2 + 16x = 4x + 26 Reorder the terms: 2 + 16x = 26 + 4x Solving 2 + 16x = 26 + 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. 2 + 16x + -4x = 26 + 4x + -4x Combine like terms: 16x + -4x = 12x 2 + 12x = 26 + 4x + -4x Combine like terms: 4x + -4x = 0 2 + 12x = 26 + 0 2 + 12x = 26 Add '-2' to each side of the equation. 2 + -2 + 12x = 26 + -2 Combine like terms: 2 + -2 = 0 0 + 12x = 26 + -2 12x = 26 + -2 Combine like terms: 26 + -2 = 24 12x = 24 Divide each side by '12'. x = 2 Simplifying x = 2
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