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Simplifying 4(3x + 2) + 2(3x + -3) = 4x + 44 Reorder the terms: 4(2 + 3x) + 2(3x + -3) = 4x + 44 (2 * 4 + 3x * 4) + 2(3x + -3) = 4x + 44 (8 + 12x) + 2(3x + -3) = 4x + 44 Reorder the terms: 8 + 12x + 2(-3 + 3x) = 4x + 44 8 + 12x + (-3 * 2 + 3x * 2) = 4x + 44 8 + 12x + (-6 + 6x) = 4x + 44 Reorder the terms: 8 + -6 + 12x + 6x = 4x + 44 Combine like terms: 8 + -6 = 2 2 + 12x + 6x = 4x + 44 Combine like terms: 12x + 6x = 18x 2 + 18x = 4x + 44 Reorder the terms: 2 + 18x = 44 + 4x Solving 2 + 18x = 44 + 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 + 18x + -4x = 44 + 4x + -4x Combine like terms: 18x + -4x = 14x 2 + 14x = 44 + 4x + -4x Combine like terms: 4x + -4x = 0 2 + 14x = 44 + 0 2 + 14x = 44 Add '-2' to each side of the equation. 2 + -2 + 14x = 44 + -2 Combine like terms: 2 + -2 = 0 0 + 14x = 44 + -2 14x = 44 + -2 Combine like terms: 44 + -2 = 42 14x = 42 Divide each side by '14'. x = 3 Simplifying x = 3
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