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Simplifying 3(x + -2) + (2k + 5) = x + 7 Reorder the terms: 3(-2 + x) + (2k + 5) = x + 7 (-2 * 3 + x * 3) + (2k + 5) = x + 7 (-6 + 3x) + (2k + 5) = x + 7 Reorder the terms: -6 + 3x + (5 + 2k) = x + 7 Remove parenthesis around (5 + 2k) -6 + 3x + 5 + 2k = x + 7 Reorder the terms: -6 + 5 + 2k + 3x = x + 7 Combine like terms: -6 + 5 = -1 -1 + 2k + 3x = x + 7 Reorder the terms: -1 + 2k + 3x = 7 + x Solving -1 + 2k + 3x = 7 + x Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 2k + 1 + 3x = 7 + 1 + x Reorder the terms: -1 + 1 + 2k + 3x = 7 + 1 + x Combine like terms: -1 + 1 = 0 0 + 2k + 3x = 7 + 1 + x 2k + 3x = 7 + 1 + x Combine like terms: 7 + 1 = 8 2k + 3x = 8 + x Add '-3x' to each side of the equation. 2k + 3x + -3x = 8 + x + -3x Combine like terms: 3x + -3x = 0 2k + 0 = 8 + x + -3x 2k = 8 + x + -3x Combine like terms: x + -3x = -2x 2k = 8 + -2x Divide each side by '2'. k = 4 + -1x Simplifying k = 4 + -1x
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