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Simplifying 6x + -3(6 + -5x) + 3x = 10 + -1(2 + -1x) 6x + (6 * -3 + -5x * -3) + 3x = 10 + -1(2 + -1x) 6x + (-18 + 15x) + 3x = 10 + -1(2 + -1x) Reorder the terms: -18 + 6x + 15x + 3x = 10 + -1(2 + -1x) Combine like terms: 6x + 15x = 21x -18 + 21x + 3x = 10 + -1(2 + -1x) Combine like terms: 21x + 3x = 24x -18 + 24x = 10 + -1(2 + -1x) -18 + 24x = 10 + (2 * -1 + -1x * -1) -18 + 24x = 10 + (-2 + 1x) Combine like terms: 10 + -2 = 8 -18 + 24x = 8 + 1x Solving -18 + 24x = 8 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -18 + 24x + -1x = 8 + 1x + -1x Combine like terms: 24x + -1x = 23x -18 + 23x = 8 + 1x + -1x Combine like terms: 1x + -1x = 0 -18 + 23x = 8 + 0 -18 + 23x = 8 Add '18' to each side of the equation. -18 + 18 + 23x = 8 + 18 Combine like terms: -18 + 18 = 0 0 + 23x = 8 + 18 23x = 8 + 18 Combine like terms: 8 + 18 = 26 23x = 26 Divide each side by '23'. x = 1.130434783 Simplifying x = 1.130434783
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