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Simplifying 2(3x + -4) + 2(x + -4) = 3(2x) Reorder the terms: 2(-4 + 3x) + 2(x + -4) = 3(2x) (-4 * 2 + 3x * 2) + 2(x + -4) = 3(2x) (-8 + 6x) + 2(x + -4) = 3(2x) Reorder the terms: -8 + 6x + 2(-4 + x) = 3(2x) -8 + 6x + (-4 * 2 + x * 2) = 3(2x) -8 + 6x + (-8 + 2x) = 3(2x) Reorder the terms: -8 + -8 + 6x + 2x = 3(2x) Combine like terms: -8 + -8 = -16 -16 + 6x + 2x = 3(2x) Combine like terms: 6x + 2x = 8x -16 + 8x = 3(2x) Remove parenthesis around (2x) -16 + 8x = 3 * 2x Multiply 3 * 2 -16 + 8x = 6x Solving -16 + 8x = 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. -16 + 8x + -6x = 6x + -6x Combine like terms: 8x + -6x = 2x -16 + 2x = 6x + -6x Combine like terms: 6x + -6x = 0 -16 + 2x = 0 Add '16' to each side of the equation. -16 + 16 + 2x = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 2x = 0 + 16 2x = 0 + 16 Combine like terms: 0 + 16 = 16 2x = 16 Divide each side by '2'. x = 8 Simplifying x = 8
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