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Simplifying -56 = 5(x + 8) + 4(-7 + 3x) Reorder the terms: -56 = 5(8 + x) + 4(-7 + 3x) -56 = (8 * 5 + x * 5) + 4(-7 + 3x) -56 = (40 + 5x) + 4(-7 + 3x) -56 = 40 + 5x + (-7 * 4 + 3x * 4) -56 = 40 + 5x + (-28 + 12x) Reorder the terms: -56 = 40 + -28 + 5x + 12x Combine like terms: 40 + -28 = 12 -56 = 12 + 5x + 12x Combine like terms: 5x + 12x = 17x -56 = 12 + 17x Solving -56 = 12 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. -56 + -17x = 12 + 17x + -17x Combine like terms: 17x + -17x = 0 -56 + -17x = 12 + 0 -56 + -17x = 12 Add '56' to each side of the equation. -56 + 56 + -17x = 12 + 56 Combine like terms: -56 + 56 = 0 0 + -17x = 12 + 56 -17x = 12 + 56 Combine like terms: 12 + 56 = 68 -17x = 68 Divide each side by '-17'. x = -4 Simplifying x = -4
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