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Simplifying 13 + -2(5x + 7) = 5x + -7 + -3x Reorder the terms: 13 + -2(7 + 5x) = 5x + -7 + -3x 13 + (7 * -2 + 5x * -2) = 5x + -7 + -3x 13 + (-14 + -10x) = 5x + -7 + -3x Combine like terms: 13 + -14 = -1 -1 + -10x = 5x + -7 + -3x Reorder the terms: -1 + -10x = -7 + 5x + -3x Combine like terms: 5x + -3x = 2x -1 + -10x = -7 + 2x Solving -1 + -10x = -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. -1 + -10x + -2x = -7 + 2x + -2x Combine like terms: -10x + -2x = -12x -1 + -12x = -7 + 2x + -2x Combine like terms: 2x + -2x = 0 -1 + -12x = -7 + 0 -1 + -12x = -7 Add '1' to each side of the equation. -1 + 1 + -12x = -7 + 1 Combine like terms: -1 + 1 = 0 0 + -12x = -7 + 1 -12x = -7 + 1 Combine like terms: -7 + 1 = -6 -12x = -6 Divide each side by '-12'. x = 0.5 Simplifying x = 0.5
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