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Simplifying 5(x + -2) = 6(2x + 1) Reorder the terms: 5(-2 + x) = 6(2x + 1) (-2 * 5 + x * 5) = 6(2x + 1) (-10 + 5x) = 6(2x + 1) Reorder the terms: -10 + 5x = 6(1 + 2x) -10 + 5x = (1 * 6 + 2x * 6) -10 + 5x = (6 + 12x) Solving -10 + 5x = 6 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -10 + 5x + -12x = 6 + 12x + -12x Combine like terms: 5x + -12x = -7x -10 + -7x = 6 + 12x + -12x Combine like terms: 12x + -12x = 0 -10 + -7x = 6 + 0 -10 + -7x = 6 Add '10' to each side of the equation. -10 + 10 + -7x = 6 + 10 Combine like terms: -10 + 10 = 0 0 + -7x = 6 + 10 -7x = 6 + 10 Combine like terms: 6 + 10 = 16 -7x = 16 Divide each side by '-7'. x = -2.285714286 Simplifying x = -2.285714286
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