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Simplifying 7(x + -3) + -1(9x + 2) = 15 Reorder the terms: 7(-3 + x) + -1(9x + 2) = 15 (-3 * 7 + x * 7) + -1(9x + 2) = 15 (-21 + 7x) + -1(9x + 2) = 15 Reorder the terms: -21 + 7x + -1(2 + 9x) = 15 -21 + 7x + (2 * -1 + 9x * -1) = 15 -21 + 7x + (-2 + -9x) = 15 Reorder the terms: -21 + -2 + 7x + -9x = 15 Combine like terms: -21 + -2 = -23 -23 + 7x + -9x = 15 Combine like terms: 7x + -9x = -2x -23 + -2x = 15 Solving -23 + -2x = 15 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + -2x = 15 + 23 Combine like terms: -23 + 23 = 0 0 + -2x = 15 + 23 -2x = 15 + 23 Combine like terms: 15 + 23 = 38 -2x = 38 Divide each side by '-2'. x = -19 Simplifying x = -19
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