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Simplifying -56 = -7(2 + -3x) + -3(5x + -2) -56 = (2 * -7 + -3x * -7) + -3(5x + -2) -56 = (-14 + 21x) + -3(5x + -2) Reorder the terms: -56 = -14 + 21x + -3(-2 + 5x) -56 = -14 + 21x + (-2 * -3 + 5x * -3) -56 = -14 + 21x + (6 + -15x) Reorder the terms: -56 = -14 + 6 + 21x + -15x Combine like terms: -14 + 6 = -8 -56 = -8 + 21x + -15x Combine like terms: 21x + -15x = 6x -56 = -8 + 6x Solving -56 = -8 + 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. -56 + -6x = -8 + 6x + -6x Combine like terms: 6x + -6x = 0 -56 + -6x = -8 + 0 -56 + -6x = -8 Add '56' to each side of the equation. -56 + 56 + -6x = -8 + 56 Combine like terms: -56 + 56 = 0 0 + -6x = -8 + 56 -6x = -8 + 56 Combine like terms: -8 + 56 = 48 -6x = 48 Divide each side by '-6'. x = -8 Simplifying x = -8
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