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Simplifying 8x + -1(5x + 2) = 13x + -45 Reorder the terms: 8x + -1(2 + 5x) = 13x + -45 8x + (2 * -1 + 5x * -1) = 13x + -45 8x + (-2 + -5x) = 13x + -45 Reorder the terms: -2 + 8x + -5x = 13x + -45 Combine like terms: 8x + -5x = 3x -2 + 3x = 13x + -45 Reorder the terms: -2 + 3x = -45 + 13x Solving -2 + 3x = -45 + 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. -2 + 3x + -13x = -45 + 13x + -13x Combine like terms: 3x + -13x = -10x -2 + -10x = -45 + 13x + -13x Combine like terms: 13x + -13x = 0 -2 + -10x = -45 + 0 -2 + -10x = -45 Add '2' to each side of the equation. -2 + 2 + -10x = -45 + 2 Combine like terms: -2 + 2 = 0 0 + -10x = -45 + 2 -10x = -45 + 2 Combine like terms: -45 + 2 = -43 -10x = -43 Divide each side by '-10'. x = 4.3 Simplifying x = 4.3
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