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Simplifying 2(x) + 2(2x + -3) = 3(x + 5) Reorder the terms: 2x + 2(-3 + 2x) = 3(x + 5) 2x + (-3 * 2 + 2x * 2) = 3(x + 5) 2x + (-6 + 4x) = 3(x + 5) Reorder the terms: -6 + 2x + 4x = 3(x + 5) Combine like terms: 2x + 4x = 6x -6 + 6x = 3(x + 5) Reorder the terms: -6 + 6x = 3(5 + x) -6 + 6x = (5 * 3 + x * 3) -6 + 6x = (15 + 3x) Solving -6 + 6x = 15 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -6 + 6x + -3x = 15 + 3x + -3x Combine like terms: 6x + -3x = 3x -6 + 3x = 15 + 3x + -3x Combine like terms: 3x + -3x = 0 -6 + 3x = 15 + 0 -6 + 3x = 15 Add '6' to each side of the equation. -6 + 6 + 3x = 15 + 6 Combine like terms: -6 + 6 = 0 0 + 3x = 15 + 6 3x = 15 + 6 Combine like terms: 15 + 6 = 21 3x = 21 Divide each side by '3'. x = 7 Simplifying x = 7
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