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Simplifying 3(x + -5) + 6 = 4(x + 7) + -39 Reorder the terms: 3(-5 + x) + 6 = 4(x + 7) + -39 (-5 * 3 + x * 3) + 6 = 4(x + 7) + -39 (-15 + 3x) + 6 = 4(x + 7) + -39 Reorder the terms: -15 + 6 + 3x = 4(x + 7) + -39 Combine like terms: -15 + 6 = -9 -9 + 3x = 4(x + 7) + -39 Reorder the terms: -9 + 3x = 4(7 + x) + -39 -9 + 3x = (7 * 4 + x * 4) + -39 -9 + 3x = (28 + 4x) + -39 Reorder the terms: -9 + 3x = 28 + -39 + 4x Combine like terms: 28 + -39 = -11 -9 + 3x = -11 + 4x Solving -9 + 3x = -11 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -9 + 3x + -4x = -11 + 4x + -4x Combine like terms: 3x + -4x = -1x -9 + -1x = -11 + 4x + -4x Combine like terms: 4x + -4x = 0 -9 + -1x = -11 + 0 -9 + -1x = -11 Add '9' to each side of the equation. -9 + 9 + -1x = -11 + 9 Combine like terms: -9 + 9 = 0 0 + -1x = -11 + 9 -1x = -11 + 9 Combine like terms: -11 + 9 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2
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