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Simplifying 3(x + -2) = 7(x + 5) + -13 Reorder the terms: 3(-2 + x) = 7(x + 5) + -13 (-2 * 3 + x * 3) = 7(x + 5) + -13 (-6 + 3x) = 7(x + 5) + -13 Reorder the terms: -6 + 3x = 7(5 + x) + -13 -6 + 3x = (5 * 7 + x * 7) + -13 -6 + 3x = (35 + 7x) + -13 Reorder the terms: -6 + 3x = 35 + -13 + 7x Combine like terms: 35 + -13 = 22 -6 + 3x = 22 + 7x Solving -6 + 3x = 22 + 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. -6 + 3x + -7x = 22 + 7x + -7x Combine like terms: 3x + -7x = -4x -6 + -4x = 22 + 7x + -7x Combine like terms: 7x + -7x = 0 -6 + -4x = 22 + 0 -6 + -4x = 22 Add '6' to each side of the equation. -6 + 6 + -4x = 22 + 6 Combine like terms: -6 + 6 = 0 0 + -4x = 22 + 6 -4x = 22 + 6 Combine like terms: 22 + 6 = 28 -4x = 28 Divide each side by '-4'. x = -7 Simplifying x = -7
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