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Simplifying 13x + -7 + 3x + -3 = 12x + -4 + 3x Reorder the terms: -7 + -3 + 13x + 3x = 12x + -4 + 3x Combine like terms: -7 + -3 = -10 -10 + 13x + 3x = 12x + -4 + 3x Combine like terms: 13x + 3x = 16x -10 + 16x = 12x + -4 + 3x Reorder the terms: -10 + 16x = -4 + 12x + 3x Combine like terms: 12x + 3x = 15x -10 + 16x = -4 + 15x Solving -10 + 16x = -4 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -10 + 16x + -15x = -4 + 15x + -15x Combine like terms: 16x + -15x = 1x -10 + 1x = -4 + 15x + -15x Combine like terms: 15x + -15x = 0 -10 + 1x = -4 + 0 -10 + 1x = -4 Add '10' to each side of the equation. -10 + 10 + 1x = -4 + 10 Combine like terms: -10 + 10 = 0 0 + 1x = -4 + 10 1x = -4 + 10 Combine like terms: -4 + 10 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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