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Simplifying 11x + -7x + 28 = 4(2x + -8) Reorder the terms: 28 + 11x + -7x = 4(2x + -8) Combine like terms: 11x + -7x = 4x 28 + 4x = 4(2x + -8) Reorder the terms: 28 + 4x = 4(-8 + 2x) 28 + 4x = (-8 * 4 + 2x * 4) 28 + 4x = (-32 + 8x) Solving 28 + 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. 28 + 4x + -8x = -32 + 8x + -8x Combine like terms: 4x + -8x = -4x 28 + -4x = -32 + 8x + -8x Combine like terms: 8x + -8x = 0 28 + -4x = -32 + 0 28 + -4x = -32 Add '-28' to each side of the equation. 28 + -28 + -4x = -32 + -28 Combine like terms: 28 + -28 = 0 0 + -4x = -32 + -28 -4x = -32 + -28 Combine like terms: -32 + -28 = -60 -4x = -60 Divide each side by '-4'. x = 15 Simplifying x = 15
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