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Simplifying 2(3x + 4) = 8(2x + -4) Reorder the terms: 2(4 + 3x) = 8(2x + -4) (4 * 2 + 3x * 2) = 8(2x + -4) (8 + 6x) = 8(2x + -4) Reorder the terms: 8 + 6x = 8(-4 + 2x) 8 + 6x = (-4 * 8 + 2x * 8) 8 + 6x = (-32 + 16x) Solving 8 + 6x = -32 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 8 + 6x + -16x = -32 + 16x + -16x Combine like terms: 6x + -16x = -10x 8 + -10x = -32 + 16x + -16x Combine like terms: 16x + -16x = 0 8 + -10x = -32 + 0 8 + -10x = -32 Add '-8' to each side of the equation. 8 + -8 + -10x = -32 + -8 Combine like terms: 8 + -8 = 0 0 + -10x = -32 + -8 -10x = -32 + -8 Combine like terms: -32 + -8 = -40 -10x = -40 Divide each side by '-10'. x = 4 Simplifying x = 4
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