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Simplifying 7x + 10 + -13x = -2(17x + -15) + 24 Reorder the terms: 10 + 7x + -13x = -2(17x + -15) + 24 Combine like terms: 7x + -13x = -6x 10 + -6x = -2(17x + -15) + 24 Reorder the terms: 10 + -6x = -2(-15 + 17x) + 24 10 + -6x = (-15 * -2 + 17x * -2) + 24 10 + -6x = (30 + -34x) + 24 Reorder the terms: 10 + -6x = 30 + 24 + -34x Combine like terms: 30 + 24 = 54 10 + -6x = 54 + -34x Solving 10 + -6x = 54 + -34x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '34x' to each side of the equation. 10 + -6x + 34x = 54 + -34x + 34x Combine like terms: -6x + 34x = 28x 10 + 28x = 54 + -34x + 34x Combine like terms: -34x + 34x = 0 10 + 28x = 54 + 0 10 + 28x = 54 Add '-10' to each side of the equation. 10 + -10 + 28x = 54 + -10 Combine like terms: 10 + -10 = 0 0 + 28x = 54 + -10 28x = 54 + -10 Combine like terms: 54 + -10 = 44 28x = 44 Divide each side by '28'. x = 1.571428571 Simplifying x = 1.571428571
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