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Simplifying 2(3x + -1) + 2 = 4 + -3(x + -5) Reorder the terms: 2(-1 + 3x) + 2 = 4 + -3(x + -5) (-1 * 2 + 3x * 2) + 2 = 4 + -3(x + -5) (-2 + 6x) + 2 = 4 + -3(x + -5) Reorder the terms: -2 + 2 + 6x = 4 + -3(x + -5) Combine like terms: -2 + 2 = 0 0 + 6x = 4 + -3(x + -5) 6x = 4 + -3(x + -5) Reorder the terms: 6x = 4 + -3(-5 + x) 6x = 4 + (-5 * -3 + x * -3) 6x = 4 + (15 + -3x) Combine like terms: 4 + 15 = 19 6x = 19 + -3x Solving 6x = 19 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 6x + 3x = 19 + -3x + 3x Combine like terms: 6x + 3x = 9x 9x = 19 + -3x + 3x Combine like terms: -3x + 3x = 0 9x = 19 + 0 9x = 19 Divide each side by '9'. x = 2.111111111 Simplifying x = 2.111111111
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