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Simplifying x + -5 = 3(-2x + 6) Reorder the terms: -5 + x = 3(-2x + 6) Reorder the terms: -5 + x = 3(6 + -2x) -5 + x = (6 * 3 + -2x * 3) -5 + x = (18 + -6x) Solving -5 + x = 18 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -5 + x + 6x = 18 + -6x + 6x Combine like terms: x + 6x = 7x -5 + 7x = 18 + -6x + 6x Combine like terms: -6x + 6x = 0 -5 + 7x = 18 + 0 -5 + 7x = 18 Add '5' to each side of the equation. -5 + 5 + 7x = 18 + 5 Combine like terms: -5 + 5 = 0 0 + 7x = 18 + 5 7x = 18 + 5 Combine like terms: 18 + 5 = 23 7x = 23 Divide each side by '7'. x = 3.285714286 Simplifying x = 3.285714286
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