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Simplifying 15(2x + -3) + -2(x + -2) = 15 Reorder the terms: 15(-3 + 2x) + -2(x + -2) = 15 (-3 * 15 + 2x * 15) + -2(x + -2) = 15 (-45 + 30x) + -2(x + -2) = 15 Reorder the terms: -45 + 30x + -2(-2 + x) = 15 -45 + 30x + (-2 * -2 + x * -2) = 15 -45 + 30x + (4 + -2x) = 15 Reorder the terms: -45 + 4 + 30x + -2x = 15 Combine like terms: -45 + 4 = -41 -41 + 30x + -2x = 15 Combine like terms: 30x + -2x = 28x -41 + 28x = 15 Solving -41 + 28x = 15 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '41' to each side of the equation. -41 + 41 + 28x = 15 + 41 Combine like terms: -41 + 41 = 0 0 + 28x = 15 + 41 28x = 15 + 41 Combine like terms: 15 + 41 = 56 28x = 56 Divide each side by '28'. x = 2 Simplifying x = 2
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