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Simplifying -4x + 8 = 4(2x + -2) + -2(-16 + 8x) Reorder the terms: 8 + -4x = 4(2x + -2) + -2(-16 + 8x) Reorder the terms: 8 + -4x = 4(-2 + 2x) + -2(-16 + 8x) 8 + -4x = (-2 * 4 + 2x * 4) + -2(-16 + 8x) 8 + -4x = (-8 + 8x) + -2(-16 + 8x) 8 + -4x = -8 + 8x + (-16 * -2 + 8x * -2) 8 + -4x = -8 + 8x + (32 + -16x) Reorder the terms: 8 + -4x = -8 + 32 + 8x + -16x Combine like terms: -8 + 32 = 24 8 + -4x = 24 + 8x + -16x Combine like terms: 8x + -16x = -8x 8 + -4x = 24 + -8x Solving 8 + -4x = 24 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 8 + -4x + 8x = 24 + -8x + 8x Combine like terms: -4x + 8x = 4x 8 + 4x = 24 + -8x + 8x Combine like terms: -8x + 8x = 0 8 + 4x = 24 + 0 8 + 4x = 24 Add '-8' to each side of the equation. 8 + -8 + 4x = 24 + -8 Combine like terms: 8 + -8 = 0 0 + 4x = 24 + -8 4x = 24 + -8 Combine like terms: 24 + -8 = 16 4x = 16 Divide each side by '4'. x = 4 Simplifying x = 4
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