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Simplifying 7 = -6(x + 8) + -1(-7 + 4) Reorder the terms: 7 = -6(8 + x) + -1(-7 + 4) 7 = (8 * -6 + x * -6) + -1(-7 + 4) 7 = (-48 + -6x) + -1(-7 + 4) Combine like terms: -7 + 4 = -3 7 = -48 + -6x + -1(-3) Multiply -1 * -3 7 = -48 + -6x + 3 Reorder the terms: 7 = -48 + 3 + -6x Combine like terms: -48 + 3 = -45 7 = -45 + -6x Solving 7 = -45 + -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. 7 + 6x = -45 + -6x + 6x Combine like terms: -6x + 6x = 0 7 + 6x = -45 + 0 7 + 6x = -45 Add '-7' to each side of the equation. 7 + -7 + 6x = -45 + -7 Combine like terms: 7 + -7 = 0 0 + 6x = -45 + -7 6x = -45 + -7 Combine like terms: -45 + -7 = -52 6x = -52 Divide each side by '6'. x = -8.666666667 Simplifying x = -8.666666667
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