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Simplifying 6[8 + -1(-2x + -7)] = 60x + 258 Reorder the terms: 6[8 + -1(-7 + -2x)] = 60x + 258 6[8 + (-7 * -1 + -2x * -1)] = 60x + 258 6[8 + (7 + 2x)] = 60x + 258 Combine like terms: 8 + 7 = 15 6[15 + 2x] = 60x + 258 [15 * 6 + 2x * 6] = 60x + 258 [90 + 12x] = 60x + 258 Reorder the terms: 90 + 12x = 258 + 60x Solving 90 + 12x = 258 + 60x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-60x' to each side of the equation. 90 + 12x + -60x = 258 + 60x + -60x Combine like terms: 12x + -60x = -48x 90 + -48x = 258 + 60x + -60x Combine like terms: 60x + -60x = 0 90 + -48x = 258 + 0 90 + -48x = 258 Add '-90' to each side of the equation. 90 + -90 + -48x = 258 + -90 Combine like terms: 90 + -90 = 0 0 + -48x = 258 + -90 -48x = 258 + -90 Combine like terms: 258 + -90 = 168 -48x = 168 Divide each side by '-48'. x = -3.5 Simplifying x = -3.5
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