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Simplifying 5[x + -2] + -7[4 + 2x] = -56 Reorder the terms: 5[-2 + x] + -7[4 + 2x] = -56 [-2 * 5 + x * 5] + -7[4 + 2x] = -56 [-10 + 5x] + -7[4 + 2x] = -56 -10 + 5x + [4 * -7 + 2x * -7] = -56 -10 + 5x + [-28 + -14x] = -56 Reorder the terms: -10 + -28 + 5x + -14x = -56 Combine like terms: -10 + -28 = -38 -38 + 5x + -14x = -56 Combine like terms: 5x + -14x = -9x -38 + -9x = -56 Solving -38 + -9x = -56 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '38' to each side of the equation. -38 + 38 + -9x = -56 + 38 Combine like terms: -38 + 38 = 0 0 + -9x = -56 + 38 -9x = -56 + 38 Combine like terms: -56 + 38 = -18 -9x = -18 Divide each side by '-9'. x = 2 Simplifying x = 2
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