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Simplifying 7(5x + -8 + -2) = 6(6x + -8 + -1) Reorder the terms: 7(-8 + -2 + 5x) = 6(6x + -8 + -1) Combine like terms: -8 + -2 = -10 7(-10 + 5x) = 6(6x + -8 + -1) (-10 * 7 + 5x * 7) = 6(6x + -8 + -1) (-70 + 35x) = 6(6x + -8 + -1) Reorder the terms: -70 + 35x = 6(-8 + -1 + 6x) Combine like terms: -8 + -1 = -9 -70 + 35x = 6(-9 + 6x) -70 + 35x = (-9 * 6 + 6x * 6) -70 + 35x = (-54 + 36x) Solving -70 + 35x = -54 + 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. -70 + 35x + -36x = -54 + 36x + -36x Combine like terms: 35x + -36x = -1x -70 + -1x = -54 + 36x + -36x Combine like terms: 36x + -36x = 0 -70 + -1x = -54 + 0 -70 + -1x = -54 Add '70' to each side of the equation. -70 + 70 + -1x = -54 + 70 Combine like terms: -70 + 70 = 0 0 + -1x = -54 + 70 -1x = -54 + 70 Combine like terms: -54 + 70 = 16 -1x = 16 Divide each side by '-1'. x = -16 Simplifying x = -16
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