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Simplifying 6[7 + -1(-2x + -7)] = 187x + 159 Reorder the terms: 6[7 + -1(-7 + -2x)] = 187x + 159 6[7 + (-7 * -1 + -2x * -1)] = 187x + 159 6[7 + (7 + 2x)] = 187x + 159 Combine like terms: 7 + 7 = 14 6[14 + 2x] = 187x + 159 [14 * 6 + 2x * 6] = 187x + 159 [84 + 12x] = 187x + 159 Reorder the terms: 84 + 12x = 159 + 187x Solving 84 + 12x = 159 + 187x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-187x' to each side of the equation. 84 + 12x + -187x = 159 + 187x + -187x Combine like terms: 12x + -187x = -175x 84 + -175x = 159 + 187x + -187x Combine like terms: 187x + -187x = 0 84 + -175x = 159 + 0 84 + -175x = 159 Add '-84' to each side of the equation. 84 + -84 + -175x = 159 + -84 Combine like terms: 84 + -84 = 0 0 + -175x = 159 + -84 -175x = 159 + -84 Combine like terms: 159 + -84 = 75 -175x = 75 Divide each side by '-175'. x = -0.4285714286 Simplifying x = -0.4285714286
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