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Simplifying x + -39 = 3(2x + -4) + -7 Reorder the terms: -39 + x = 3(2x + -4) + -7 Reorder the terms: -39 + x = 3(-4 + 2x) + -7 -39 + x = (-4 * 3 + 2x * 3) + -7 -39 + x = (-12 + 6x) + -7 Reorder the terms: -39 + x = -12 + -7 + 6x Combine like terms: -12 + -7 = -19 -39 + x = -19 + 6x Solving -39 + x = -19 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -39 + x + -6x = -19 + 6x + -6x Combine like terms: x + -6x = -5x -39 + -5x = -19 + 6x + -6x Combine like terms: 6x + -6x = 0 -39 + -5x = -19 + 0 -39 + -5x = -19 Add '39' to each side of the equation. -39 + 39 + -5x = -19 + 39 Combine like terms: -39 + 39 = 0 0 + -5x = -19 + 39 -5x = -19 + 39 Combine like terms: -19 + 39 = 20 -5x = 20 Divide each side by '-5'. x = -4 Simplifying x = -4
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