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Simplifying 6(6 + 8x) + -2(1 + 8x) = -6x + 4x (6 * 6 + 8x * 6) + -2(1 + 8x) = -6x + 4x (36 + 48x) + -2(1 + 8x) = -6x + 4x 36 + 48x + (1 * -2 + 8x * -2) = -6x + 4x 36 + 48x + (-2 + -16x) = -6x + 4x Reorder the terms: 36 + -2 + 48x + -16x = -6x + 4x Combine like terms: 36 + -2 = 34 34 + 48x + -16x = -6x + 4x Combine like terms: 48x + -16x = 32x 34 + 32x = -6x + 4x Combine like terms: -6x + 4x = -2x 34 + 32x = -2x Solving 34 + 32x = -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 34 + 32x + 2x = -2x + 2x Combine like terms: 32x + 2x = 34x 34 + 34x = -2x + 2x Combine like terms: -2x + 2x = 0 34 + 34x = 0 Add '-34' to each side of the equation. 34 + -34 + 34x = 0 + -34 Combine like terms: 34 + -34 = 0 0 + 34x = 0 + -34 34x = 0 + -34 Combine like terms: 0 + -34 = -34 34x = -34 Divide each side by '34'. x = -1 Simplifying x = -1
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