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Simplifying 10x + -11 + 3x + 13 = 17x + -18 Reorder the terms: -11 + 13 + 10x + 3x = 17x + -18 Combine like terms: -11 + 13 = 2 2 + 10x + 3x = 17x + -18 Combine like terms: 10x + 3x = 13x 2 + 13x = 17x + -18 Reorder the terms: 2 + 13x = -18 + 17x Solving 2 + 13x = -18 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. 2 + 13x + -17x = -18 + 17x + -17x Combine like terms: 13x + -17x = -4x 2 + -4x = -18 + 17x + -17x Combine like terms: 17x + -17x = 0 2 + -4x = -18 + 0 2 + -4x = -18 Add '-2' to each side of the equation. 2 + -2 + -4x = -18 + -2 Combine like terms: 2 + -2 = 0 0 + -4x = -18 + -2 -4x = -18 + -2 Combine like terms: -18 + -2 = -20 -4x = -20 Divide each side by '-4'. x = 5 Simplifying x = 5
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