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Simplifying 5(3x + -2) + -7(x + 1) = 15 Reorder the terms: 5(-2 + 3x) + -7(x + 1) = 15 (-2 * 5 + 3x * 5) + -7(x + 1) = 15 (-10 + 15x) + -7(x + 1) = 15 Reorder the terms: -10 + 15x + -7(1 + x) = 15 -10 + 15x + (1 * -7 + x * -7) = 15 -10 + 15x + (-7 + -7x) = 15 Reorder the terms: -10 + -7 + 15x + -7x = 15 Combine like terms: -10 + -7 = -17 -17 + 15x + -7x = 15 Combine like terms: 15x + -7x = 8x -17 + 8x = 15 Solving -17 + 8x = 15 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 8x = 15 + 17 Combine like terms: -17 + 17 = 0 0 + 8x = 15 + 17 8x = 15 + 17 Combine like terms: 15 + 17 = 32 8x = 32 Divide each side by '8'. x = 4 Simplifying x = 4
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