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Simplifying 4x + 8 = -4(2x + -7) + 4 Reorder the terms: 8 + 4x = -4(2x + -7) + 4 Reorder the terms: 8 + 4x = -4(-7 + 2x) + 4 8 + 4x = (-7 * -4 + 2x * -4) + 4 8 + 4x = (28 + -8x) + 4 Reorder the terms: 8 + 4x = 28 + 4 + -8x Combine like terms: 28 + 4 = 32 8 + 4x = 32 + -8x Solving 8 + 4x = 32 + -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 = 32 + -8x + 8x Combine like terms: 4x + 8x = 12x 8 + 12x = 32 + -8x + 8x Combine like terms: -8x + 8x = 0 8 + 12x = 32 + 0 8 + 12x = 32 Add '-8' to each side of the equation. 8 + -8 + 12x = 32 + -8 Combine like terms: 8 + -8 = 0 0 + 12x = 32 + -8 12x = 32 + -8 Combine like terms: 32 + -8 = 24 12x = 24 Divide each side by '12'. x = 2 Simplifying x = 2
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