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Simplifying 3(2x + -7) + -1(x + 11) = 15 Reorder the terms: 3(-7 + 2x) + -1(x + 11) = 15 (-7 * 3 + 2x * 3) + -1(x + 11) = 15 (-21 + 6x) + -1(x + 11) = 15 Reorder the terms: -21 + 6x + -1(11 + x) = 15 -21 + 6x + (11 * -1 + x * -1) = 15 -21 + 6x + (-11 + -1x) = 15 Reorder the terms: -21 + -11 + 6x + -1x = 15 Combine like terms: -21 + -11 = -32 -32 + 6x + -1x = 15 Combine like terms: 6x + -1x = 5x -32 + 5x = 15 Solving -32 + 5x = 15 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + 5x = 15 + 32 Combine like terms: -32 + 32 = 0 0 + 5x = 15 + 32 5x = 15 + 32 Combine like terms: 15 + 32 = 47 5x = 47 Divide each side by '5'. x = 9.4 Simplifying x = 9.4
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