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Simplifying 4x(7 + 1) = 34x + 2(2 + 2) Combine like terms: 7 + 1 = 8 4x(8) = 34x + 2(2 + 2) Reorder the terms for easier multiplication: 4 * 8x = 34x + 2(2 + 2) Multiply 4 * 8 32x = 34x + 2(2 + 2) Combine like terms: 2 + 2 = 4 32x = 34x + 2(4) Multiply 2 * 4 32x = 34x + 8 Reorder the terms: 32x = 8 + 34x Solving 32x = 8 + 34x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-34x' to each side of the equation. 32x + -34x = 8 + 34x + -34x Combine like terms: 32x + -34x = -2x -2x = 8 + 34x + -34x Combine like terms: 34x + -34x = 0 -2x = 8 + 0 -2x = 8 Divide each side by '-2'. x = -4 Simplifying x = -4
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