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Simplifying 5x + -2 + 3 = 17 + 12x + -13 Reorder the terms: -2 + 3 + 5x = 17 + 12x + -13 Combine like terms: -2 + 3 = 1 1 + 5x = 17 + 12x + -13 Reorder the terms: 1 + 5x = 17 + -13 + 12x Combine like terms: 17 + -13 = 4 1 + 5x = 4 + 12x Solving 1 + 5x = 4 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 1 + 5x + -12x = 4 + 12x + -12x Combine like terms: 5x + -12x = -7x 1 + -7x = 4 + 12x + -12x Combine like terms: 12x + -12x = 0 1 + -7x = 4 + 0 1 + -7x = 4 Add '-1' to each side of the equation. 1 + -1 + -7x = 4 + -1 Combine like terms: 1 + -1 = 0 0 + -7x = 4 + -1 -7x = 4 + -1 Combine like terms: 4 + -1 = 3 -7x = 3 Divide each side by '-7'. x = -0.4285714286 Simplifying x = -0.4285714286
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