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Simplifying 4(3x + 3) + 3(2x + 1) = 4x + 43 Reorder the terms: 4(3 + 3x) + 3(2x + 1) = 4x + 43 (3 * 4 + 3x * 4) + 3(2x + 1) = 4x + 43 (12 + 12x) + 3(2x + 1) = 4x + 43 Reorder the terms: 12 + 12x + 3(1 + 2x) = 4x + 43 12 + 12x + (1 * 3 + 2x * 3) = 4x + 43 12 + 12x + (3 + 6x) = 4x + 43 Reorder the terms: 12 + 3 + 12x + 6x = 4x + 43 Combine like terms: 12 + 3 = 15 15 + 12x + 6x = 4x + 43 Combine like terms: 12x + 6x = 18x 15 + 18x = 4x + 43 Reorder the terms: 15 + 18x = 43 + 4x Solving 15 + 18x = 43 + 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. 15 + 18x + -4x = 43 + 4x + -4x Combine like terms: 18x + -4x = 14x 15 + 14x = 43 + 4x + -4x Combine like terms: 4x + -4x = 0 15 + 14x = 43 + 0 15 + 14x = 43 Add '-15' to each side of the equation. 15 + -15 + 14x = 43 + -15 Combine like terms: 15 + -15 = 0 0 + 14x = 43 + -15 14x = 43 + -15 Combine like terms: 43 + -15 = 28 14x = 28 Divide each side by '14'. x = 2 Simplifying x = 2
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