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Simplifying 6(3x + -15) + 4(x + 15) = 7 Reorder the terms: 6(-15 + 3x) + 4(x + 15) = 7 (-15 * 6 + 3x * 6) + 4(x + 15) = 7 (-90 + 18x) + 4(x + 15) = 7 Reorder the terms: -90 + 18x + 4(15 + x) = 7 -90 + 18x + (15 * 4 + x * 4) = 7 -90 + 18x + (60 + 4x) = 7 Reorder the terms: -90 + 60 + 18x + 4x = 7 Combine like terms: -90 + 60 = -30 -30 + 18x + 4x = 7 Combine like terms: 18x + 4x = 22x -30 + 22x = 7 Solving -30 + 22x = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 22x = 7 + 30 Combine like terms: -30 + 30 = 0 0 + 22x = 7 + 30 22x = 7 + 30 Combine like terms: 7 + 30 = 37 22x = 37 Divide each side by '22'. x = 1.681818182 Simplifying x = 1.681818182
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