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Simplifying 7(x + -13) + -3 = 2(x + -13) + 17 Reorder the terms: 7(-13 + x) + -3 = 2(x + -13) + 17 (-13 * 7 + x * 7) + -3 = 2(x + -13) + 17 (-91 + 7x) + -3 = 2(x + -13) + 17 Reorder the terms: -91 + -3 + 7x = 2(x + -13) + 17 Combine like terms: -91 + -3 = -94 -94 + 7x = 2(x + -13) + 17 Reorder the terms: -94 + 7x = 2(-13 + x) + 17 -94 + 7x = (-13 * 2 + x * 2) + 17 -94 + 7x = (-26 + 2x) + 17 Reorder the terms: -94 + 7x = -26 + 17 + 2x Combine like terms: -26 + 17 = -9 -94 + 7x = -9 + 2x Solving -94 + 7x = -9 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -94 + 7x + -2x = -9 + 2x + -2x Combine like terms: 7x + -2x = 5x -94 + 5x = -9 + 2x + -2x Combine like terms: 2x + -2x = 0 -94 + 5x = -9 + 0 -94 + 5x = -9 Add '94' to each side of the equation. -94 + 94 + 5x = -9 + 94 Combine like terms: -94 + 94 = 0 0 + 5x = -9 + 94 5x = -9 + 94 Combine like terms: -9 + 94 = 85 5x = 85 Divide each side by '5'. x = 17 Simplifying x = 17
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