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Simplifying 8(2x + -4) = 2(2x + 3x) Reorder the terms: 8(-4 + 2x) = 2(2x + 3x) (-4 * 8 + 2x * 8) = 2(2x + 3x) (-32 + 16x) = 2(2x + 3x) Combine like terms: 2x + 3x = 5x -32 + 16x = 2(5x) Remove parenthesis around (5x) -32 + 16x = 2 * 5x Multiply 2 * 5 -32 + 16x = 10x Solving -32 + 16x = 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -32 + 16x + -10x = 10x + -10x Combine like terms: 16x + -10x = 6x -32 + 6x = 10x + -10x Combine like terms: 10x + -10x = 0 -32 + 6x = 0 Add '32' to each side of the equation. -32 + 32 + 6x = 0 + 32 Combine like terms: -32 + 32 = 0 0 + 6x = 0 + 32 6x = 0 + 32 Combine like terms: 0 + 32 = 32 6x = 32 Divide each side by '6'. x = 5.333333333 Simplifying x = 5.333333333
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