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Simplifying -4(x + -8) + 8x = -6x + 8(4 + -3x) Reorder the terms: -4(-8 + x) + 8x = -6x + 8(4 + -3x) (-8 * -4 + x * -4) + 8x = -6x + 8(4 + -3x) (32 + -4x) + 8x = -6x + 8(4 + -3x) Combine like terms: -4x + 8x = 4x 32 + 4x = -6x + 8(4 + -3x) 32 + 4x = -6x + (4 * 8 + -3x * 8) 32 + 4x = -6x + (32 + -24x) Reorder the terms: 32 + 4x = 32 + -6x + -24x Combine like terms: -6x + -24x = -30x 32 + 4x = 32 + -30x Add '-32' to each side of the equation. 32 + -32 + 4x = 32 + -32 + -30x Combine like terms: 32 + -32 = 0 0 + 4x = 32 + -32 + -30x 4x = 32 + -32 + -30x Combine like terms: 32 + -32 = 0 4x = 0 + -30x 4x = -30x Solving 4x = -30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30x' to each side of the equation. 4x + 30x = -30x + 30x Combine like terms: 4x + 30x = 34x 34x = -30x + 30x Combine like terms: -30x + 30x = 0 34x = 0 Divide each side by '34'. x = 0 Simplifying x = 0
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