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Simplifying 3(x + -5) + 2(x + 7) = 7x + -3 Reorder the terms: 3(-5 + x) + 2(x + 7) = 7x + -3 (-5 * 3 + x * 3) + 2(x + 7) = 7x + -3 (-15 + 3x) + 2(x + 7) = 7x + -3 Reorder the terms: -15 + 3x + 2(7 + x) = 7x + -3 -15 + 3x + (7 * 2 + x * 2) = 7x + -3 -15 + 3x + (14 + 2x) = 7x + -3 Reorder the terms: -15 + 14 + 3x + 2x = 7x + -3 Combine like terms: -15 + 14 = -1 -1 + 3x + 2x = 7x + -3 Combine like terms: 3x + 2x = 5x -1 + 5x = 7x + -3 Reorder the terms: -1 + 5x = -3 + 7x Solving -1 + 5x = -3 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -1 + 5x + -7x = -3 + 7x + -7x Combine like terms: 5x + -7x = -2x -1 + -2x = -3 + 7x + -7x Combine like terms: 7x + -7x = 0 -1 + -2x = -3 + 0 -1 + -2x = -3 Add '1' to each side of the equation. -1 + 1 + -2x = -3 + 1 Combine like terms: -1 + 1 = 0 0 + -2x = -3 + 1 -2x = -3 + 1 Combine like terms: -3 + 1 = -2 -2x = -2 Divide each side by '-2'. x = 1 Simplifying x = 1
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