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Simplifying x + 5 = 2(4x + -6) Reorder the terms: 5 + x = 2(4x + -6) Reorder the terms: 5 + x = 2(-6 + 4x) 5 + x = (-6 * 2 + 4x * 2) 5 + x = (-12 + 8x) Solving 5 + x = -12 + 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. 5 + x + -8x = -12 + 8x + -8x Combine like terms: x + -8x = -7x 5 + -7x = -12 + 8x + -8x Combine like terms: 8x + -8x = 0 5 + -7x = -12 + 0 5 + -7x = -12 Add '-5' to each side of the equation. 5 + -5 + -7x = -12 + -5 Combine like terms: 5 + -5 = 0 0 + -7x = -12 + -5 -7x = -12 + -5 Combine like terms: -12 + -5 = -17 -7x = -17 Divide each side by '-7'. x = 2.428571429 Simplifying x = 2.428571429
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