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Simplifying 5x + -1(3 + 7) = 9 + 2(x + -8) Combine like terms: 3 + 7 = 10 5x + -1(10) = 9 + 2(x + -8) Multiply -1 * 10 5x + -10 = 9 + 2(x + -8) Reorder the terms: -10 + 5x = 9 + 2(x + -8) Reorder the terms: -10 + 5x = 9 + 2(-8 + x) -10 + 5x = 9 + (-8 * 2 + x * 2) -10 + 5x = 9 + (-16 + 2x) Combine like terms: 9 + -16 = -7 -10 + 5x = -7 + 2x Solving -10 + 5x = -7 + 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. -10 + 5x + -2x = -7 + 2x + -2x Combine like terms: 5x + -2x = 3x -10 + 3x = -7 + 2x + -2x Combine like terms: 2x + -2x = 0 -10 + 3x = -7 + 0 -10 + 3x = -7 Add '10' to each side of the equation. -10 + 10 + 3x = -7 + 10 Combine like terms: -10 + 10 = 0 0 + 3x = -7 + 10 3x = -7 + 10 Combine like terms: -7 + 10 = 3 3x = 3 Divide each side by '3'. x = 1 Simplifying x = 1
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