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Simplifying 7(x + -2) = 5 + 3(x + -6) Reorder the terms: 7(-2 + x) = 5 + 3(x + -6) (-2 * 7 + x * 7) = 5 + 3(x + -6) (-14 + 7x) = 5 + 3(x + -6) Reorder the terms: -14 + 7x = 5 + 3(-6 + x) -14 + 7x = 5 + (-6 * 3 + x * 3) -14 + 7x = 5 + (-18 + 3x) Combine like terms: 5 + -18 = -13 -14 + 7x = -13 + 3x Solving -14 + 7x = -13 + 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. -14 + 7x + -3x = -13 + 3x + -3x Combine like terms: 7x + -3x = 4x -14 + 4x = -13 + 3x + -3x Combine like terms: 3x + -3x = 0 -14 + 4x = -13 + 0 -14 + 4x = -13 Add '14' to each side of the equation. -14 + 14 + 4x = -13 + 14 Combine like terms: -14 + 14 = 0 0 + 4x = -13 + 14 4x = -13 + 14 Combine like terms: -13 + 14 = 1 4x = 1 Divide each side by '4'. x = 0.25 Simplifying x = 0.25
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