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Simplifying 6x + 8 + -13x + 10 = 4 + -6x + -1 + 4x Reorder the terms: 8 + 10 + 6x + -13x = 4 + -6x + -1 + 4x Combine like terms: 8 + 10 = 18 18 + 6x + -13x = 4 + -6x + -1 + 4x Combine like terms: 6x + -13x = -7x 18 + -7x = 4 + -6x + -1 + 4x Reorder the terms: 18 + -7x = 4 + -1 + -6x + 4x Combine like terms: 4 + -1 = 3 18 + -7x = 3 + -6x + 4x Combine like terms: -6x + 4x = -2x 18 + -7x = 3 + -2x Solving 18 + -7x = 3 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 18 + -7x + 2x = 3 + -2x + 2x Combine like terms: -7x + 2x = -5x 18 + -5x = 3 + -2x + 2x Combine like terms: -2x + 2x = 0 18 + -5x = 3 + 0 18 + -5x = 3 Add '-18' to each side of the equation. 18 + -18 + -5x = 3 + -18 Combine like terms: 18 + -18 = 0 0 + -5x = 3 + -18 -5x = 3 + -18 Combine like terms: 3 + -18 = -15 -5x = -15 Divide each side by '-5'. x = 3 Simplifying x = 3
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