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Simplifying 8(2 + -2x + -4x) + 6(7x + 8) = 28 Combine like terms: -2x + -4x = -6x 8(2 + -6x) + 6(7x + 8) = 28 (2 * 8 + -6x * 8) + 6(7x + 8) = 28 (16 + -48x) + 6(7x + 8) = 28 Reorder the terms: 16 + -48x + 6(8 + 7x) = 28 16 + -48x + (8 * 6 + 7x * 6) = 28 16 + -48x + (48 + 42x) = 28 Reorder the terms: 16 + 48 + -48x + 42x = 28 Combine like terms: 16 + 48 = 64 64 + -48x + 42x = 28 Combine like terms: -48x + 42x = -6x 64 + -6x = 28 Solving 64 + -6x = 28 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-64' to each side of the equation. 64 + -64 + -6x = 28 + -64 Combine like terms: 64 + -64 = 0 0 + -6x = 28 + -64 -6x = 28 + -64 Combine like terms: 28 + -64 = -36 -6x = -36 Divide each side by '-6'. x = 6 Simplifying x = 6
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