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Simplifying 7 = -6(x + 8) + -1(-7x + 4) Reorder the terms: 7 = -6(8 + x) + -1(-7x + 4) 7 = (8 * -6 + x * -6) + -1(-7x + 4) 7 = (-48 + -6x) + -1(-7x + 4) Reorder the terms: 7 = -48 + -6x + -1(4 + -7x) 7 = -48 + -6x + (4 * -1 + -7x * -1) 7 = -48 + -6x + (-4 + 7x) Reorder the terms: 7 = -48 + -4 + -6x + 7x Combine like terms: -48 + -4 = -52 7 = -52 + -6x + 7x Combine like terms: -6x + 7x = 1x 7 = -52 + 1x Solving 7 = -52 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 7 + -1x = -52 + 1x + -1x Combine like terms: 1x + -1x = 0 7 + -1x = -52 + 0 7 + -1x = -52 Add '-7' to each side of the equation. 7 + -7 + -1x = -52 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = -52 + -7 -1x = -52 + -7 Combine like terms: -52 + -7 = -59 -1x = -59 Divide each side by '-1'. x = 59 Simplifying x = 59
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