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Simplifying x + 7 = 2(4x + -2) Reorder the terms: 7 + x = 2(4x + -2) Reorder the terms: 7 + x = 2(-2 + 4x) 7 + x = (-2 * 2 + 4x * 2) 7 + x = (-4 + 8x) Solving 7 + x = -4 + 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. 7 + x + -8x = -4 + 8x + -8x Combine like terms: x + -8x = -7x 7 + -7x = -4 + 8x + -8x Combine like terms: 8x + -8x = 0 7 + -7x = -4 + 0 7 + -7x = -4 Add '-7' to each side of the equation. 7 + -7 + -7x = -4 + -7 Combine like terms: 7 + -7 = 0 0 + -7x = -4 + -7 -7x = -4 + -7 Combine like terms: -4 + -7 = -11 -7x = -11 Divide each side by '-7'. x = 1.571428571 Simplifying x = 1.571428571
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