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Simplifying 6(2x + -1) + -10 = 2(5x + -1) Reorder the terms: 6(-1 + 2x) + -10 = 2(5x + -1) (-1 * 6 + 2x * 6) + -10 = 2(5x + -1) (-6 + 12x) + -10 = 2(5x + -1) Reorder the terms: -6 + -10 + 12x = 2(5x + -1) Combine like terms: -6 + -10 = -16 -16 + 12x = 2(5x + -1) Reorder the terms: -16 + 12x = 2(-1 + 5x) -16 + 12x = (-1 * 2 + 5x * 2) -16 + 12x = (-2 + 10x) Solving -16 + 12x = -2 + 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. -16 + 12x + -10x = -2 + 10x + -10x Combine like terms: 12x + -10x = 2x -16 + 2x = -2 + 10x + -10x Combine like terms: 10x + -10x = 0 -16 + 2x = -2 + 0 -16 + 2x = -2 Add '16' to each side of the equation. -16 + 16 + 2x = -2 + 16 Combine like terms: -16 + 16 = 0 0 + 2x = -2 + 16 2x = -2 + 16 Combine like terms: -2 + 16 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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