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Simplifying 2(3x + -4) = 7x Reorder the terms: 2(-4 + 3x) = 7x (-4 * 2 + 3x * 2) = 7x (-8 + 6x) = 7x Solving -8 + 6x = 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -8 + 6x + -7x = 7x + -7x Combine like terms: 6x + -7x = -1x -8 + -1x = 7x + -7x Combine like terms: 7x + -7x = 0 -8 + -1x = 0 Add '8' to each side of the equation. -8 + 8 + -1x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1x = 0 + 8 -1x = 0 + 8 Combine like terms: 0 + 8 = 8 -1x = 8 Divide each side by '-1'. x = -8 Simplifying x = -8
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