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Simplifying 3(2x + -1) + 6x = 10x + -7 Reorder the terms: 3(-1 + 2x) + 6x = 10x + -7 (-1 * 3 + 2x * 3) + 6x = 10x + -7 (-3 + 6x) + 6x = 10x + -7 Combine like terms: 6x + 6x = 12x -3 + 12x = 10x + -7 Reorder the terms: -3 + 12x = -7 + 10x Solving -3 + 12x = -7 + 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. -3 + 12x + -10x = -7 + 10x + -10x Combine like terms: 12x + -10x = 2x -3 + 2x = -7 + 10x + -10x Combine like terms: 10x + -10x = 0 -3 + 2x = -7 + 0 -3 + 2x = -7 Add '3' to each side of the equation. -3 + 3 + 2x = -7 + 3 Combine like terms: -3 + 3 = 0 0 + 2x = -7 + 3 2x = -7 + 3 Combine like terms: -7 + 3 = -4 2x = -4 Divide each side by '2'. x = -2 Simplifying x = -2
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