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Simplifying 2x + 8 = 2(3x + -4) Reorder the terms: 8 + 2x = 2(3x + -4) Reorder the terms: 8 + 2x = 2(-4 + 3x) 8 + 2x = (-4 * 2 + 3x * 2) 8 + 2x = (-8 + 6x) Solving 8 + 2x = -8 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 8 + 2x + -6x = -8 + 6x + -6x Combine like terms: 2x + -6x = -4x 8 + -4x = -8 + 6x + -6x Combine like terms: 6x + -6x = 0 8 + -4x = -8 + 0 8 + -4x = -8 Add '-8' to each side of the equation. 8 + -8 + -4x = -8 + -8 Combine like terms: 8 + -8 = 0 0 + -4x = -8 + -8 -4x = -8 + -8 Combine like terms: -8 + -8 = -16 -4x = -16 Divide each side by '-4'. x = 4 Simplifying x = 4
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