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Simplifying 2(2x + 3) + 2(3x) = 3(5x + -3) Reorder the terms: 2(3 + 2x) + 2(3x) = 3(5x + -3) (3 * 2 + 2x * 2) + 2(3x) = 3(5x + -3) (6 + 4x) + 2(3x) = 3(5x + -3) Remove parenthesis around (3x) 6 + 4x + 2 * 3x = 3(5x + -3) Multiply 2 * 3 6 + 4x + 6x = 3(5x + -3) Combine like terms: 4x + 6x = 10x 6 + 10x = 3(5x + -3) Reorder the terms: 6 + 10x = 3(-3 + 5x) 6 + 10x = (-3 * 3 + 5x * 3) 6 + 10x = (-9 + 15x) Solving 6 + 10x = -9 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 6 + 10x + -15x = -9 + 15x + -15x Combine like terms: 10x + -15x = -5x 6 + -5x = -9 + 15x + -15x Combine like terms: 15x + -15x = 0 6 + -5x = -9 + 0 6 + -5x = -9 Add '-6' to each side of the equation. 6 + -6 + -5x = -9 + -6 Combine like terms: 6 + -6 = 0 0 + -5x = -9 + -6 -5x = -9 + -6 Combine like terms: -9 + -6 = -15 -5x = -15 Divide each side by '-5'. x = 3 Simplifying x = 3
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