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Simplifying 3(x + -1) + 2(2x + -3) = 5(x + 1) + 7 Reorder the terms: 3(-1 + x) + 2(2x + -3) = 5(x + 1) + 7 (-1 * 3 + x * 3) + 2(2x + -3) = 5(x + 1) + 7 (-3 + 3x) + 2(2x + -3) = 5(x + 1) + 7 Reorder the terms: -3 + 3x + 2(-3 + 2x) = 5(x + 1) + 7 -3 + 3x + (-3 * 2 + 2x * 2) = 5(x + 1) + 7 -3 + 3x + (-6 + 4x) = 5(x + 1) + 7 Reorder the terms: -3 + -6 + 3x + 4x = 5(x + 1) + 7 Combine like terms: -3 + -6 = -9 -9 + 3x + 4x = 5(x + 1) + 7 Combine like terms: 3x + 4x = 7x -9 + 7x = 5(x + 1) + 7 Reorder the terms: -9 + 7x = 5(1 + x) + 7 -9 + 7x = (1 * 5 + x * 5) + 7 -9 + 7x = (5 + 5x) + 7 Reorder the terms: -9 + 7x = 5 + 7 + 5x Combine like terms: 5 + 7 = 12 -9 + 7x = 12 + 5x Solving -9 + 7x = 12 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -9 + 7x + -5x = 12 + 5x + -5x Combine like terms: 7x + -5x = 2x -9 + 2x = 12 + 5x + -5x Combine like terms: 5x + -5x = 0 -9 + 2x = 12 + 0 -9 + 2x = 12 Add '9' to each side of the equation. -9 + 9 + 2x = 12 + 9 Combine like terms: -9 + 9 = 0 0 + 2x = 12 + 9 2x = 12 + 9 Combine like terms: 12 + 9 = 21 2x = 21 Divide each side by '2'. x = 10.5 Simplifying x = 10.5
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