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Simplifying 6x + -13x + -2 = 10x + -24 Reorder the terms: -2 + 6x + -13x = 10x + -24 Combine like terms: 6x + -13x = -7x -2 + -7x = 10x + -24 Reorder the terms: -2 + -7x = -24 + 10x Solving -2 + -7x = -24 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -2 + -7x + -10x = -24 + 10x + -10x Combine like terms: -7x + -10x = -17x -2 + -17x = -24 + 10x + -10x Combine like terms: 10x + -10x = 0 -2 + -17x = -24 + 0 -2 + -17x = -24 Add '2' to each side of the equation. -2 + 2 + -17x = -24 + 2 Combine like terms: -2 + 2 = 0 0 + -17x = -24 + 2 -17x = -24 + 2 Combine like terms: -24 + 2 = -22 -17x = -22 Divide each side by '-17'. x = 1.294117647 Simplifying x = 1.294117647
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