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Simplifying 2(3x + -4) + 9x = 5x + 7 Reorder the terms: 2(-4 + 3x) + 9x = 5x + 7 (-4 * 2 + 3x * 2) + 9x = 5x + 7 (-8 + 6x) + 9x = 5x + 7 Combine like terms: 6x + 9x = 15x -8 + 15x = 5x + 7 Reorder the terms: -8 + 15x = 7 + 5x Solving -8 + 15x = 7 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -8 + 15x + -5x = 7 + 5x + -5x Combine like terms: 15x + -5x = 10x -8 + 10x = 7 + 5x + -5x Combine like terms: 5x + -5x = 0 -8 + 10x = 7 + 0 -8 + 10x = 7 Add '8' to each side of the equation. -8 + 8 + 10x = 7 + 8 Combine like terms: -8 + 8 = 0 0 + 10x = 7 + 8 10x = 7 + 8 Combine like terms: 7 + 8 = 15 10x = 15 Divide each side by '10'. x = 1.5 Simplifying x = 1.5
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