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Simplifying 2(3x + -5) + -3(7x + 10) = 15 Reorder the terms: 2(-5 + 3x) + -3(7x + 10) = 15 (-5 * 2 + 3x * 2) + -3(7x + 10) = 15 (-10 + 6x) + -3(7x + 10) = 15 Reorder the terms: -10 + 6x + -3(10 + 7x) = 15 -10 + 6x + (10 * -3 + 7x * -3) = 15 -10 + 6x + (-30 + -21x) = 15 Reorder the terms: -10 + -30 + 6x + -21x = 15 Combine like terms: -10 + -30 = -40 -40 + 6x + -21x = 15 Combine like terms: 6x + -21x = -15x -40 + -15x = 15 Solving -40 + -15x = 15 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + -15x = 15 + 40 Combine like terms: -40 + 40 = 0 0 + -15x = 15 + 40 -15x = 15 + 40 Combine like terms: 15 + 40 = 55 -15x = 55 Divide each side by '-15'. x = -3.666666667 Simplifying x = -3.666666667
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