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Simplifying 13 + 10x + -36 = 5(17 + 14x) + 24(x + -36) Reorder the terms: 13 + -36 + 10x = 5(17 + 14x) + 24(x + -36) Combine like terms: 13 + -36 = -23 -23 + 10x = 5(17 + 14x) + 24(x + -36) -23 + 10x = (17 * 5 + 14x * 5) + 24(x + -36) -23 + 10x = (85 + 70x) + 24(x + -36) Reorder the terms: -23 + 10x = 85 + 70x + 24(-36 + x) -23 + 10x = 85 + 70x + (-36 * 24 + x * 24) -23 + 10x = 85 + 70x + (-864 + 24x) Reorder the terms: -23 + 10x = 85 + -864 + 70x + 24x Combine like terms: 85 + -864 = -779 -23 + 10x = -779 + 70x + 24x Combine like terms: 70x + 24x = 94x -23 + 10x = -779 + 94x Solving -23 + 10x = -779 + 94x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-94x' to each side of the equation. -23 + 10x + -94x = -779 + 94x + -94x Combine like terms: 10x + -94x = -84x -23 + -84x = -779 + 94x + -94x Combine like terms: 94x + -94x = 0 -23 + -84x = -779 + 0 -23 + -84x = -779 Add '23' to each side of the equation. -23 + 23 + -84x = -779 + 23 Combine like terms: -23 + 23 = 0 0 + -84x = -779 + 23 -84x = -779 + 23 Combine like terms: -779 + 23 = -756 -84x = -756 Divide each side by '-84'. x = 9 Simplifying x = 9
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