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Simplifying 6(2x + -4) + 9 = 7x + -3x + -5 Reorder the terms: 6(-4 + 2x) + 9 = 7x + -3x + -5 (-4 * 6 + 2x * 6) + 9 = 7x + -3x + -5 (-24 + 12x) + 9 = 7x + -3x + -5 Reorder the terms: -24 + 9 + 12x = 7x + -3x + -5 Combine like terms: -24 + 9 = -15 -15 + 12x = 7x + -3x + -5 Reorder the terms: -15 + 12x = -5 + 7x + -3x Combine like terms: 7x + -3x = 4x -15 + 12x = -5 + 4x Solving -15 + 12x = -5 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -15 + 12x + -4x = -5 + 4x + -4x Combine like terms: 12x + -4x = 8x -15 + 8x = -5 + 4x + -4x Combine like terms: 4x + -4x = 0 -15 + 8x = -5 + 0 -15 + 8x = -5 Add '15' to each side of the equation. -15 + 15 + 8x = -5 + 15 Combine like terms: -15 + 15 = 0 0 + 8x = -5 + 15 8x = -5 + 15 Combine like terms: -5 + 15 = 10 8x = 10 Divide each side by '8'. x = 1.25 Simplifying x = 1.25
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