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Simplifying 13x + 6x + -3 + -7 = 15x + -12x + -5 Reorder the terms: -3 + -7 + 13x + 6x = 15x + -12x + -5 Combine like terms: -3 + -7 = -10 -10 + 13x + 6x = 15x + -12x + -5 Combine like terms: 13x + 6x = 19x -10 + 19x = 15x + -12x + -5 Reorder the terms: -10 + 19x = -5 + 15x + -12x Combine like terms: 15x + -12x = 3x -10 + 19x = -5 + 3x Solving -10 + 19x = -5 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -10 + 19x + -3x = -5 + 3x + -3x Combine like terms: 19x + -3x = 16x -10 + 16x = -5 + 3x + -3x Combine like terms: 3x + -3x = 0 -10 + 16x = -5 + 0 -10 + 16x = -5 Add '10' to each side of the equation. -10 + 10 + 16x = -5 + 10 Combine like terms: -10 + 10 = 0 0 + 16x = -5 + 10 16x = -5 + 10 Combine like terms: -5 + 10 = 5 16x = 5 Divide each side by '16'. x = 0.3125 Simplifying x = 0.3125
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