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Simplifying 2(3x + -4) = 7 + -2x + 5x Reorder the terms: 2(-4 + 3x) = 7 + -2x + 5x (-4 * 2 + 3x * 2) = 7 + -2x + 5x (-8 + 6x) = 7 + -2x + 5x Combine like terms: -2x + 5x = 3x -8 + 6x = 7 + 3x Solving -8 + 6x = 7 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -8 + 6x + -3x = 7 + 3x + -3x Combine like terms: 6x + -3x = 3x -8 + 3x = 7 + 3x + -3x Combine like terms: 3x + -3x = 0 -8 + 3x = 7 + 0 -8 + 3x = 7 Add '8' to each side of the equation. -8 + 8 + 3x = 7 + 8 Combine like terms: -8 + 8 = 0 0 + 3x = 7 + 8 3x = 7 + 8 Combine like terms: 7 + 8 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5
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