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Simplifying 3(5x + -8) + -7 = 13(x + -2) + 5 Reorder the terms: 3(-8 + 5x) + -7 = 13(x + -2) + 5 (-8 * 3 + 5x * 3) + -7 = 13(x + -2) + 5 (-24 + 15x) + -7 = 13(x + -2) + 5 Reorder the terms: -24 + -7 + 15x = 13(x + -2) + 5 Combine like terms: -24 + -7 = -31 -31 + 15x = 13(x + -2) + 5 Reorder the terms: -31 + 15x = 13(-2 + x) + 5 -31 + 15x = (-2 * 13 + x * 13) + 5 -31 + 15x = (-26 + 13x) + 5 Reorder the terms: -31 + 15x = -26 + 5 + 13x Combine like terms: -26 + 5 = -21 -31 + 15x = -21 + 13x Solving -31 + 15x = -21 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. -31 + 15x + -13x = -21 + 13x + -13x Combine like terms: 15x + -13x = 2x -31 + 2x = -21 + 13x + -13x Combine like terms: 13x + -13x = 0 -31 + 2x = -21 + 0 -31 + 2x = -21 Add '31' to each side of the equation. -31 + 31 + 2x = -21 + 31 Combine like terms: -31 + 31 = 0 0 + 2x = -21 + 31 2x = -21 + 31 Combine like terms: -21 + 31 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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