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