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Simplifying 58 = -1(-8x + -4) + -6(7x + 8) Reorder the terms: 58 = -1(-4 + -8x) + -6(7x + 8) 58 = (-4 * -1 + -8x * -1) + -6(7x + 8) 58 = (4 + 8x) + -6(7x + 8) Reorder the terms: 58 = 4 + 8x + -6(8 + 7x) 58 = 4 + 8x + (8 * -6 + 7x * -6) 58 = 4 + 8x + (-48 + -42x) Reorder the terms: 58 = 4 + -48 + 8x + -42x Combine like terms: 4 + -48 = -44 58 = -44 + 8x + -42x Combine like terms: 8x + -42x = -34x 58 = -44 + -34x Solving 58 = -44 + -34x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '34x' to each side of the equation. 58 + 34x = -44 + -34x + 34x Combine like terms: -34x + 34x = 0 58 + 34x = -44 + 0 58 + 34x = -44 Add '-58' to each side of the equation. 58 + -58 + 34x = -44 + -58 Combine like terms: 58 + -58 = 0 0 + 34x = -44 + -58 34x = -44 + -58 Combine like terms: -44 + -58 = -102 34x = -102 Divide each side by '34'. x = -3 Simplifying x = -3
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