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Simplifying 6(x + 2) + 64x = -8(-9x + -2) + -3x Reorder the terms: 6(2 + x) + 64x = -8(-9x + -2) + -3x (2 * 6 + x * 6) + 64x = -8(-9x + -2) + -3x (12 + 6x) + 64x = -8(-9x + -2) + -3x Combine like terms: 6x + 64x = 70x 12 + 70x = -8(-9x + -2) + -3x Reorder the terms: 12 + 70x = -8(-2 + -9x) + -3x 12 + 70x = (-2 * -8 + -9x * -8) + -3x 12 + 70x = (16 + 72x) + -3x Combine like terms: 72x + -3x = 69x 12 + 70x = 16 + 69x Solving 12 + 70x = 16 + 69x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-69x' to each side of the equation. 12 + 70x + -69x = 16 + 69x + -69x Combine like terms: 70x + -69x = 1x 12 + 1x = 16 + 69x + -69x Combine like terms: 69x + -69x = 0 12 + 1x = 16 + 0 12 + 1x = 16 Add '-12' to each side of the equation. 12 + -12 + 1x = 16 + -12 Combine like terms: 12 + -12 = 0 0 + 1x = 16 + -12 1x = 16 + -12 Combine like terms: 16 + -12 = 4 1x = 4 Divide each side by '1'. x = 4 Simplifying x = 4
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